Cable -> Cable Modem -> Router
Amiga-> Router <-PC
A friend of mine had a similar problem, but the router he used only allowed 1 PC to connect to the internet... As soon as another PC tried to get net acces the other would be thrown of.. Depends a little on the router I guess.
Quick fix, connect the Amiga to the PC, put another NIC in the PC and conect that to the router;
So like this;
Amiga -> PC (Nic 1)
PC (Nic 2)-> router -> cable modem.
Don't forget to share the internet conection on the PC, you may need a hub or a crosscable to connect the Amiga with the PC.
If you mean the "router" is a "hub" then it would look more like this;
Amiga -> hub -> PC (Nic 1)
PC (Nic 2) -> cable modem
Just 2 cents.