"靠蒸汽动力行进" can be translated into English as "to move/travel by steam power" or "to be propelled by steam power".
For example:
The old train used to move by steam power. （那列旧火车过去靠蒸汽动力行进。）
These ships were once propelled by steam power. （这些船只曾经靠蒸汽动力行进。）