I\'m running Android through Genymotion using the following configuration:
Your IP configuration looks correct. There is two connection between genymotion and your host.
In Genymotion Settings, under proxy settings, you will be able to set your username & password for your proxy.
If you want to do more complex authentication schemes, like NTLM or Kerberos, Genymotion won't work. But as a workaround, you could use tools like Cntlm, or NtlmAps, that will provide a local, non authenticated, proxy and take care of upstream proxy authentication for Genymotion.
This settings will only work for the sofware Genymotion. Inside Android, you will also need to set a proxy in the settings. Go to: Settings -> Wi-Fi -> Long Click on "WiredSSID" -> Modify network -> Check "show advanced settings".
As mentionned there, the proxy will only works for the Browser, and maybe Gmail also. You will need to set it also on the settings of each app you trying to use. Not all of your apps will provide a proxy setting. I think Twitter does, but if your app doesn't provide one, you're screwed!