Hi Aaron,
If you are able to listen to your stream on another computer on your network using the address
http://192.168.1.4:1175/, then you are half way there.
You will then need to set up port forwarding in your router for port 1175 to IP address 192.168.1.4. Most routers will not let you port forward to a DHCP address, so 192.168.1.4 (or a different 192.168.1.x address) will likely need to be hardcoded on your streaming machine if it is not already.
If you can send me the model of your router, then I can help with setting up port forwarding.
After that is done, then you will need know external IP address that other will use to connect to your stream. This can be found by going to this link:
Find IP Address: What is My IP Address? IP Address Lookup & IP Locator
I have Cox in Phoenix and my external IP address is 68.104.xxx.xxx, so the external link for this stream will be
http://68.104.xxx.xxx:1175/.
After you have the port forwarding done, and have identified your external IP address, then you should be set.
Good Luck.
--Joe