There are a number of sites offering support for sewing machine users of all makes, including the Shark Euro Pro 361. sewingpartsonline.com is a good place to start, as they have a long list of downloadable manuals, including the Pro 361.
If that site doesn't have what you're looking for, here are some others you could try:
The top two options are libraries for old product manuals, while the other two are support forums. If you can't find a manual for your Shark Euro Pro elsewhere, you can join one of the forums and post a question asking for help in obtaining a copy. Such sites are also useful for advice on repairs and spare parts, as is howtomendit.com.
You could also go straight to Shark themselves (Shark is a brand owned by Euro-Pro) and phone 800-798-7398, or join their own support community on their website.
Some YouTube users might be able to help, or you could post a comment asking for help about a manual under videos like this one: