Currently in Act 4 Inferno as a Monk, though I lack dps to progress through late act 3 and 4 solo. I just tank for friends who are glass cannons.
You will need 4 types of stats on your gear: Dex, Vit, All Resist and any single resist type. Prioritize all resist and a single resist gear, while still having ok dex and vit stats. Getting gear with high armour is also really good. You will need a shield at some point. The extra armor just becomes way to valuable when you get to Act 2. It terms of weapons, getting high attack speed with life on hit are the best. Don't sacrifice too much dps just to get some life on hit though.
Here is my build. Stats are 18k damage (buffed), 35k hp, 800 resist, 8.5k Armor (buffed)
One With Everything is why you need All Resist and a single resist that's used on all your gear. You will pretty much double your resistances this way.
Your mantra will become your spirit dump. Try to keep the 3 second buff up all the time. If you keep that up while attacking with Fist of Thunder you should get around 60% dodge while also healing due to the transcendence passive.
Breath of Heaven with the Blazing Wrath rune will give you a 15% damage buff which you can keep up forever.
Serenity and Blinding Flash are your "Oh Shit!" abilities. Serenity for dealing with champion affixes. Blinding Flash for a brief stun and for doing a large burst of damage.
Lashing Tail Kick is optional. I like it due to the knockback and slow that the rune gives. Helps with dealing with packs of white mobs. I switch this out with Earth Ally, Sweeping Wind or Seven-Sided Strike depending on the situation.