If your screen has a high gain surface, glass bead, reflective coating, etc., I don't recommend you use any liquids to clean it. Doing so will likely cause the surface to look splotchy when it dries. This damage will likely be permanent.
Most screens in movie theaters have matte surfaces. There is little or no coating on them except for a surface treatment to make them reflect evenly. Matte or "low gain" screens can be cleaned with mild soap and water by carefully wiping from top to bottom then wiping again with just a wet cloth to remove the soap and residue. If they are merely dusty, they can be brushed with a special anti-static brush.
If your screen has a coating of titanium dioxide, glass beads or silver, any liquid on the surface will only make a "clean spot" which will look worse than the dirt.
Have you ever gone to a movie theater where some idiot threw Coca Cola at the screen, leaving a giant splotch in the middle of the charater's faces? That's probably because the screen was cleaned improperly. That stain is going to take a professional screen cleaning company to get it looking right again.
(Yes, movie theaters often hire professionals to clean their screens.)
Probably the best thing you can do for a screen is to leave it alone. If it looks so bad that it needs to be cleaned, do the best you can with DRY methods. Use a brush or a lint free cloth to wipe it in even, vertical strokes.
If you believe that you must clean it with liquid, use residue free soap like Castile soap, etc. Just dampen the surface. Wring the cloth out as much as possible. Then use another damp cloth with water only to remove the soap and dirt residue. Try to keep the strokes even and overlapping in order to minimize streaking.
Otherwise, just air the thing out, best as you can.
Most people in the movie business consider glass beaded screens to be uncleanable. That's one reason why you see very few of them in commercial movie theaters. (Narrow viewing angle is another big reason.)
