There is no direct connection from Arlington to Machupicchu. However, you can take the taxi to Dallas/Ft.Worth airport, fly to Cuzco, take the taxi to Cusco, take the bus to Ollantaytambo, take the walk to Ollantaytambo, then take the train to Machupicchu.
How to get from Arlington to Machupicchu
From Arlington taxi to Dallas/Ft.Worth airport, fly to Cuzco airport, taxi to Cusco, bus to Ollantaytambo, walk to Ollantaytambo, then train to Machupicchu. 13 h 44 min $1,236.