In any place within the jurisdiction of a local authority the procurator fiscal of the sheriff court, on the Board being satisfied that the local authority have made default in doing their duty, may, with the approval of the Lord Advocate, institute and follow out proceedings against the local authority for compelling them to do their duty, and may institute and follow out in all respects any proceeding which the local authority of such place might institute with respect to the removal of nuisances or otherwise ; and the expense as between agent and client of all such proceedings shall be paid by the local authority, but with such relief to them against the author of any nuisance or any other party as may be competent.