Any individual or corporation having buildings, structures, works, conduits, mains, sewers, wires, tracks, or other obstructions in, over, upon, or adjacent to the public streets, lanes, alleys, or highways or in, under, over or adjacent to the river over which a bridge is to be constructed by a city of the metropolitan class, and which interfere with or impede the progress of such bridge and approaches when in process of construction and establishment, shall upon reasonable notice from the bridge commission temporarily so shift, adjust, accommodate, or remove any such interference or impediment, as fully to meet the exigencies occasioning such action. Upon completion of such construction, the actual cost of such measures, if reasonable, otherwise the reasonable cost of such measures, and other incidental damages, shall be promptly paid to such person by the bridge commission. In case of disagreement as to reasonable cost, the damages sustained shall be ascertained and determined as provided in sections 76-704 to 76-724 and shall be paid at once by the bridge commission out of funds provided for in sections 14-1201 to 14-1252. Similar powers may be exercised in an adjoining state if and in the manner authorized by an act of Congress or the law of that state.