Thanks for your answer. Here some more information:
Apache has started. It seems that mysql has started, too.
I'm trying to install the XAMPP package including Limesurvey.
There seems to be a problem with the post-installation setup of imesurvey (the PHP error in the screenshot). Maybe it's related to Windows 7 as written in the forum post linked by Ben_V.
After the installation completes the following localhost webpage is opened in the web browser:
URL
On this page an error is shown:
ERROR
It looks like XAMPP was installed successfully but limesurvey was somehow not configured.
I couldn't find any log files with anything relating to the error.
Do I need to switch on logging? Or is there any way to get more information about the error?