Hello clarkj,
Sorry to hear you are having problems with Fusion 360. To resolve your issue please try the following.
- From the screenshot you provided are you able to sign in with your Autodesk ID and Password?
- If you are not using a proxy server, please make sure your LAN settings match the LAN settings in the link.
http://knowledge.autodesk.com/search-result/caas/sfdcarticles/sfdcarticles/Meta-licensing.html
- If you are using a proxy server to access the internet please refer to the following links.
Proxy servers and Autodesk 360
http://upandready.typepad.com/up_and_ready/2013/12/proxy-servers-and-autodesk-360.html
How to resolve network connectivity problems for Fusion 360
http://knowledge.autodesk.com/support/fusion-360/troubleshooting/caas/sfdcarticles/sfdcarticles/Netw...
Please "Accept Solution" if a reply or replies have helped resolve the issue or answered your question, to help others in the community.

BHurley
Autodesk, Inc.