Any person aggrieved thereby may appeal from any such order of the county board upon any of the following matters:
(1) The amount of benefits to any property in which such person so appealing is interested;
(2) The amount of any damages allowed in which such person so appealing is interested; or
(3) The refusal of the county board to establish or order the improvement to be made.
The appeal shall be made and taken to the district court in and for the county, under the conditions and in the manner provided by law for like appeals in county ditch proceedings, particular reference being made to General Statutes 1923, Section 6687, and the appeal shall be determined with like effect as provided therein.