What do you use to keep high gloss speakers clean?

http://www.brillianize.com/Pages/LandingPages/acrylic.html. I’ve used this product for decades. Was introduced to it for my plexiglass aquarium. Have used it on motorcycles, cars, computers, to name a few. It’s the absolute best for non glass tv screens. Spray it on and rub with a clean cotton baby diaper or micro fiber cloth. Then flip the cloth over and polish with dry side. You will feel it get incredibly slippery. Simply rub with a clean micro cloth to remove dust and smudges. Works incredibly well on motorcycle windscreens and helmet face shields without scratching provided they’re not gritty to begin. 

@buellrider97 

Totally agree about the brillianize!  Started using it years ago for my plexiglass cover over my turntable and eventually on all my high gloss items.  Love its ease and the outcome of its application.

The first step is definitely dry Swiffer.

It is the dust (grit) that causes the swirls when wiped.

Same, car wax. 

Fresh, cleaned, water dampened cotton washcloth, followed by a dry cotton towel. Nothing else needed. Been using this for decades without the need to add any "product" to the process.

Don’t dry dust ever. Dry dusting is what causes the micro scratches in the first place. If you never cause the micro scratches, you never have to add product to cover up, or polish out the micro scratches.