"靠蒸汽动力行进" can be translated into English as "to move or travel by steam power" or, more contextually fitting in a sentence, "to be propelled by steam power".
For example:
The old train moved by steam power. (那列旧火车靠蒸汽动力行进。)
The ship was propelled by steam power across the ocean. (那艘船靠蒸汽动力横渡大洋。)