contents; expenses.] Upon the filing of such petition the secretary of the district shall cause notice of such filing to be published in the manner by this act N.M. Stat. Ann. § 73-8-1 to 73-8-60 prescribed for the publication of notices. The notices shall set forth the filing of the petition, the names of the petitioner, or petitioners, a description of the lands covered thereby sufficient for the identification thereof and the prayer of the petitioner, and shall notify all interested persons to appear at the office of the district at a time to be named in the notice, and show cause in writing, if any exist, why the petition shall not be granted. The time specified in the notice shall be the regular meeting of the board to be held next after the expiration of the time fixed by this act for the publication of notices. The estimated cost of all proceedings under any such petition shall be advanced by the petitioner or petitioners before the secretary shall publish such notice.