Thank you for the installation log files and the addition screenshots. It seems that the application is successfully being installed, as far as I can tell.
From the screenshots, it looks like the application hangs when the sign-in window appears. Are you ever prompted to submit an error message to Autodesk? I tried looking in our error reporting system, but I did not locate any reports associated with your e-mail address.
Is it possible that the graphics driver for the video card needs to be updated?
Depending on your video card, you may want to check the manufacturer's website.
Are there any other error messages that appear?
Could you try right clicking on the launch icon and selecting "Run As Administrator" to see if that will help?
Is the a home, school, or work network that you're launching Fusion 360 on?
I look forward to your reply. Please let me know if you have any questions...
Best,
Nathan Chandler
Principal Specialist