5th beatle:
I wish I could give you a definitive answer on whether it is safe for you to install that ActiveX component. It is not a simple question. ActiveX controls can access security sensitive areas of your computer. However, I believe that the technology is unavoidable and that most, if not all, (internet connected) computers have ActiveX controls installed.
Here are excerpts from a text book, CompTIA Security+ 2008 by Mark Ciampa published in 2009:
"An ActiveX control is similar to a Java applet in that it can perform many of the same functions. Unlike Java applets, however, ActiveX controls do not run in a sandbox but have full access to the Windows operating system. Anything a user can do on a computer, an ActiveX control can do, such as deleting files or reformatting a hard drive. To control this free-reign risk Microsoft developed a registration system so that browsers can identify and authenticate an ActiveX control before downloading it. ActiveX controls can be signed or unsigned. A signed ActiveX control provides a high degree of verification that the control was produced by the signer and has not been modified. However, signing does not guarantee the trustworthiness of the signer but only provides assurance that the control originated from the signer."
"...the user's desision to allow installation of an ActiveX control is based on the source of the ActiveX control and not on the ActiveX control itself..."
"...nearly all ActiveX control security mechanisms are set in Internet Explorer. However, ActiveX controls do not rely exclusively on Internet Exlporer but can be installed and executed independently. Third party applications that use ActiveX technology may not provide the security mechanisms available in Internet Explorer."
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Bottom line, in my opinion, is if you trust Foxit then the ActiveX control can be trusted. But I can not state anything with 100% certainty.
hope this helps