Well, you can either get the smooting effect on the screen by pushing/pulling individual points, or the method I've often used when making screens is to model the surround as one object, then make the screen as another by building a huge sphere that intersects the front of the case in the correct places, then deleting the areas I don't need.
If you find that the corners aren't tight enough, then you can always perform a couple of bandsaws to square them up...
This way you're pretty much guaranteed to get the correct screen curvature...
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