Its doable, but my concern would be the tongue weight. Even if you can keep the trailer to 5000#, at 13% its still over by 50#. I suppose you could try to counter balance it somehow...
Over the years I have twice towed very close to my rated capacities. Both times I knew what I was getting into and what the limitations would be. The first was a 3500# hybrid (Kiwi 17a) with a mini-van (summer of '03). The second time was with our X20E (4750#) and a Chevy Trailblazer (summer of '13). Like kvangil, I would describe both experiences as adequate. Both times I knew that towing in mountains would be out of the question.
That said, there is a definite difference between towing up to your limit and having spare capacity. We replaced the mini-van with a Suburban and later a Trailblazer. The Trailblazer towed the Kiwi beautifully even through mountains. Our current Sierra 1500 tows the X20E beautifully also. In other words, much more pleasurable towing than just "adequate".
Originally Posted by perfpix
The yellow sticker weight, which includes all installed options, and full proprane tanks was 4258lbs. I'd really like to know the hitch weight though.
Best way to calculate that without knowing for sure is to go by the GVWR of the trailer and figure out what 12 or 13% of that number is. In the case of the X213 that's 715#. Too much for the Pathfinder.
The only way to know for sure is to weigh the tongue when everything is fully loaded. You can do it with a bathroom scale, or if yours doens't go that high, use 2 with a 2x4 across and add the numbers. As already said packing light can make enough of a difference to make it work. When we towed the Kiwi with the mini-van we literaly weighed all of our stuff. It wasn't more than 350#.