At the time set for the hearing and consideration of the petition as provided in the preceding section, it shall be the duty of the board of county commissioners to ascertain (1) whether proper notice of the hearing has been given to the signers of the petition and the chief engineer as required by this act; (2) whether lands described in the petition are without an adequate water supply; (3) whether the construction of dams, wells or other works are necessary to develop an adequate water supply; (4) whether such improvements or works will be conducive to and will tend to promote the public health, convenience and welfare. If upon such consideration it shall be found that such petition is in conformity with the requirements of this act, the board of county commissioners shall thereupon immediately declare the land described in the petition to constitute a quasi-municipal corporation and the petitioners therein to be incorporated as a water-supply district under the name of “Rural Water-supply District No. ______, ______________ County, Kansas,” (inserting number in order of incorporation and name of county) and thereupon shall enter upon its records full minutes of such hearing together with declaration that henceforth all land in said district and the owners thereof and their successors shall constitute a body politic and corporate under said corporate name for the purposes of this act.