The following measurements are added:  5.8943 mm + 3.03 mm + 2.345 mm. The result (with the appropriate number of significant figures) is:

The sum of the measurements is 11.2693 mm. However, when adding or subtracting measurements, the result should be reported to the same decimal place as the least precise measurement. In this case, the least precise measurement is 3.03 mm, which is reported to the hundredths place. Therefore, the sum should also be reported to the hundredths place.

So, the final result, rounded to the appropriate number of significant figures, is 11.27 mm.