Please, answer first these questions:
What version of Windows are you on (XP, Vista, Windows 7)? Is it 32-bit or 64-bit?
What is the version of Internet Explorer installed on your computer?
In Internet Explorer go to Help -> About Internet Explorer.
P.S. Please, don’t say that you are not using Internet Explorer. This is irrelevant. Skype depends on Internet Explorer.
Press WinKey + R to open the Run window
WinKey (the button is located between the left Ctrl and Alt with the Windows logo)
Type: iexplore.exe and press Enter