A transport trolley for transporting a load comprising a base mounted on motorized wheels, a deck mounted to be translationally mobile on the base in a direction of translation, a first motorized system displacing the deck, a hexapod platform comprising a platform and a set of six jacks in which each is mounted articulated between the deck and the platform. The platform comprises a plurality of bearing points configured to come under the load and each bearing point takes the form of a receptacle with its opening oriented upwards. A control unit controls each motorized wheel, the first motorized system and each jack. The use of a hexapod platform makes it possible to finely position the wing at its position of fixing onto the fuselage and the use of a mobile deck supporting the hexapod platform allows for adjustability of the position despite a smaller footprint around the aircraft.