when you connect using Wi-Fi you should get a local IP address and the screen there should tell you the address of your Router.
Numbers like 192.168.xxx.yyy
10.10.xxx.yyy
and some in the 172.xxx.yyy.zzz range are local IP address.
You want to choose a number that is the same in the first three octets, but unique father down;
example:
Router address is 192.168.1.1
Wi-Fi address is 192.168.1.101
chose a number a bit higher, but less than 254 such as 192.168.1.120, and enter that manually as your Ethernet IP address.
Expected result: if the problem was ONLY due to not having a good IP address, you ethernet should take off and work.
Otherwise, that was not the only issue.