I have setup a reverse proxy for the website, and now I want to proxy my game server aswell with the ports stated below, but I realy can\'t find anywhere how to perform this
Apache is not an ideal tool for proxying TCP connections.
Nginx plus can do it but it's not free.
What you want is a proxy server like squid which is very well documented.
You can also do this without extra software, just with IP tables as explained here.
iptables -t nat -A PREROUTING -p tcp --dport 1111 -j DNAT --to-destination ip:port
iptables -t nat -A PREROUTING -p tcp --dport 1112 -j DNAT --to-destination ip:port
iptables -t nat -A PREROUTING -p tcp --dport 1113 -j DNAT --to-destination ip:port
iptables -t nat -A POSTROUTING -j MASQUERADE