var nextApprover;
var employeeSearchObj = search.create({
    type: "employee",
    filters:
        [
        ],
    columns:
        [
            search.createColumn({
                name: "entityid",
                sort: search.Sort.ASC,
                label: "Name"
            }),

        ]
});

var searchResultCount = employeeSearchObj.runPaged().count;

console.log("employeeSearchObj result count",searchResultCount);
employeeSearchObj.run().each(function(result){
    // .run().each has a limit of 4,000 results


                console.log(result.id);
                console.log(employeeId);
               

               if(result.id === employeeId){

                    console.log("Match")


                }
    return true;
});

console.log("Next Approved id value: " +  nextApprover)

return true;

As for this one in particular, I believe you should be using return true; in your iterator so it continues looping through more than just the first result.