The provisions of this division apply to all counties and districts, or other public corporations insofar as such corporations have the power applicable to them to make any of the improvements authorized under this division. The officers of such counties, districts, or other public corporations who have similar powers and duties as the municipal officers referred to in this division have the powers and duties given by this division to such municipal officials. Where no similar officer exists, the legislative body of the county, district, or public corporation shall by resolution appoint a person or designate an officer to perform the duties under this division.