Jerry,
Login to the
member area, then click "Tech Support." You should see your installation under "Open support tickets".
HostGator should provide the correct DNS servers, such as ns5.hostgator.com and ns6.hostgator.com (no idea if those would work - it should be listed in the control panel or introductory email somewhere).
The DNS servers can be applied to your domain at GoDaddy without the need for a tech support request. (Under "Manage Domains" -> "Edit", or similar) This will point the domain to the nameservers which will be used to discover the IP.
Regards