Upon application by petition signed by one-fifth of the voters of any incorporated city, who are qualified to vote for members of the legislature in such incorporated city of this state, the board of aldermen, city council or other proper officials of such incorporated city shall submit the question to the voters of the incorporated city, to determine whether or not intoxicating liquor, as defined in this chapter, other than malt liquor containing not to exceed five percent of alcohol by weight, shall be sold, furnished or given away within the corporate limits of such incorporated city; and the result thereof shall be entered upon the records of such board of aldermen, city council or other proper officials, provided further, that the board of aldermen, city council or other proper officials shall determine the sufficiency of the petition presented by the poll books of the last previous city election.