Apache Tomcat 8.0: How to get “Virtual hosting” to work with port removed on OS X Yosemite?

httpd.vhosts.conf

# http://tomcat.apache.org/tomcat-7.0-doc/proxy-howto.html
# https://gerrydevstory.com/2013/06/29/tomcat-apache-reverse-proxy/
# http://www.latko.org/2009/02/12/installing-tomcat-60x-behind-apache-22x/
# http://stackoverflow.com/a/20584597/922323
# https://raajasoft.wordpress.com/2011/11/27/to-shorten-the-tomcat-application-url/
# http://www.christianroessler.net/tech/2012/apache-vhost-proxy-and-static-files.html
# http://sysadminnotebook.blogspot.com/2011/08/apache-reverse-proxy-of-virtual-hosts.html
# http://stackoverflow.com/a/8823415/922323
<VirtualHost *:80>
    ServerName tomcat.local
    ServerAlias www.tomcat.local
    #DocumentRoot "/Users/mhulse/github/tomcat"
    <Proxy *>
        AddDefaultCharset Off
        Order deny,allow
        Allow from all
    </Proxy>
    ProxyRequests Off
    ProxyVia On
    ProxyPreserveHost On
    # APP:
    ProxyPass /test http://127.0.0.1:8090/test
    ProxyPassReverse /test http://127.0.0.1:8090/test
    # MANAGER:
    ProxyPass /manager http://127.0.0.1:8090/manager
    ProxyPassReverse /manager http://127.0.0.1:8090/manager
    #RewriteEngine On
    #RewriteRule ^(.*)$ http://127.0.0.1:8090/test/$1 [P,L]
</VirtualHost>

server.xml

<Server port="8005" shutdown="SHUTDOWN">
    <Listener className="org.apache.catalina.startup.VersionLoggerListener" />
    <Listener className="org.apache.catalina.core.AprLifecycleListener" SSLEngine="on" />
    <Listener className="org.apache.catalina.core.JasperListener" />
    <Listener className="org.apache.catalina.core.JreMemoryLeakPreventionListener" />
    <Listener className="org.apache.catalina.mbeans.GlobalResourcesLifecycleListener" />
    <Listener className="org.apache.catalina.core.ThreadLocalLeakPreventionListener" />
    <GlobalNamingResources>
        <Resource name="UserDatabase" auth="Container" type="org.apache.catalina.UserDatabase" description="User database that can be updated and saved" factory="org.apache.catalina.users.MemoryUserDatabaseFactory" pathname="conf/tomcat-users.xml" />
    </GlobalNamingResources>
    <Service name="Catalina">
        <Connector port="8090" protocol="HTTP/1.1" proxyName="tomcat.local" proxyPort="80" redirectPort="8443" connectionTimeout="20000" />
        <Engine name="Catalina" defaultHost="localhost">
            
            <Realm className="org.apache.catalina.realm.LockOutRealm">
                <Realm className="org.apache.catalina.realm.UserDatabaseRealm" resourceName="UserDatabase" />
            </Realm>
            
            <Host name="localhost" appBase="webapps" unpackWARs="true" autoDeploy="true" startStopThreads="-1">
                <Valve className="org.apache.catalina.valves.AccessLogValve" directory="logs" prefix="localhost_access_log." suffix=".txt" pattern="%h %l %u %t &quot;%r&quot; %s %b" />
            </Host>
            
            <Host name="tomcat.local" appBase="webapps/test" unpackWars="false" autoDeploy="false">
                <Logger className="org.apache.catalina.logger.FileLogger" directory="logs" prefix="virtual_log." suffix=".txt" timestamp="true" />
                <Context path="" docBase="." debug="0" reloadable="true" />
                <Valve className="org.apache.catalina.valves.AccessLogValve" directory="logs" prefix="virtual_log." suffix=".txt" pattern="common" />
            </Host>
            
        </Engine>
    </Service>
</Server>