SymProxySvc.exe is a part of Norton Internet Security. More information can be found here.
Quote: Symantec's Norton Internet Security 2005 provides essential
protection from viruses, hackers, and privacy threats. Norton AntiVirus
is the world?s most trusted antivirus solution.* Norton Personal
Firewall keeps personal data in and hackers out. And Norton Privacy
Control, Norton AntiSpam, and Norton Parental Control safeguard you
and your family from other common online risks.
Every attempt has been made to ensure the information about SymProxySvc.exe is accurate but alot of malware applications try to pose as valid applications. If it is something other than what was posted above please leave some feedback in the forum.