At such meeting the reports and estimates of the engineer and the assessment of the assessors shall be laid before the landowners present estimating the probable cost of said work, and the probable rate percent therefor on the valuation of the said lands as increased by the said work, and a vote shall be taken whether or not the work shall be done; provided, that any landowner in the district to be benefitted by the work may be represented and his vote cast at such meeting by his agent or attorney, and in order to determine whether such work shall be done it shall require a majority of the votes of the landowners of the district present in person or by proxy casting a vote in favor of the work, and at all meetings held under sections 245.285 to 245.545, every landowner may be represented and his vote cast for or against the work by his agent, attorney or proxy.