When a petition, signed by ten (10) owners of real property within the limits of a district proposed to be organized for the purpose of procuring a right-of-way for any highway, viaduct, or underpass which the Government of the United States, or any of its agencies, proposes to construct and for the purpose of paying the damages caused by such improvement, the petition describing the property which will be benefited by the making of the improvement, is presented to the county court or county judge, it shall be the duty of the county court to meet immediately and to enter an order upon its record, reciting the filing of the petition and fixing a day for hearing of those who favor the formation of the district and those opposed thereto.