The Supreme Court, upon satisfactory proof that any surety to an undertaking given under this title has become insolvent, or that his circumstances have become so precarious that there is reason to apprehend that the undertaking is insufficient security, may in its discretion require the appellant to file and serve a new undertaking, with such sureties and in such time as shall be prescribed, and that in default thereof the appeal shall be dismissed or the stay of proceedings vacated, and the execution or performance of the judgment or order be allowed to be enforced without further delay.
SDCL 15-26A-40