It's more of networking question, than programming one. A short answer would be - You can't.
The source IP address will always (unless strangely translated by the gateway) belong to the endpoint You wanted to connect with. This way Your application will get the response to any request You send. Unless You're using NAT the router does not alter the packet in any way so it's transparent from a connectivity point of view. The source address of the packet You just got would almost always contain the IP address of the server You connected to. That's the way Ethernet works.
A poor man's solution would be to use traceroute to find out which way the packets go and therefore get the address of the router, which generally would be the first hop along the way. From a programmer's perspective this would mean sending out several packets to the destination You got the packet from, each time incrementing the packet's TTL (starting from 1) and looking at the ICMP responses. This however could mislead You if some sort of load balancing is being done.
Maybe if You clarified what You would like to achieve I could point You in a better direction.