Taiwan to mainland China to USA?

Would this itinerary be allowed under the 72 hour visa for each city?

Flight 1: Taipei (TPE) to Guangzhou (CAN)
Flight 2: Guangzhou (CAN) to Shanghai (PVG)
Flight 3: Shanghai (PVG) to Beijing (PEK)
Flight 4: Beijing (PEK) to San Francisco, CA (SFO)