Ping.
Try this:
Modem --> wired router WAN port
Wired router port 4 --> Wireless router WAN port
Do both routers issue IPs on the same segment via DHCP or different segments?
On the wireless router, can you login to the console and change DHCP server settings? If so, you may be in luck.
Get a new wireless router and save yourself potential problems with being double (or triple if your ISP is doing one) NATed.
Theoretically things should'nt notice being behind any number of proxys. But if it took me an hour to make it work I'd be at breakeven. Time spent after that is lost money. That router could wind up costing you almost as much as time spent on FR.