Upon the city‘s filing a report with the chief engineer pursuant to Kan. Stat. Ann. § 12-636, and amendments thereto, the chief engineer shall carefully examine the report and, if the chief engineer determines it necessary, shall make a personal investigation as to the location of the contemplated improvements, the costs of making the improvements and whether the improvements will accomplish the purpose for which they are intended. The chief engineer shall then approve or disapprove the report and immediately notify the city engineer of the approval or disapproval.