Finding the Fourth Proportional to 31,058.31, 42,870.14 and 17,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,058.31 : 42,870.14 = 17,638.50 : x
2. Step 2: Convert to fraction form
   31,058.31/42,870.14 = 17,638.50/x
3. Step 3: Cross multiply
   31,058.31x = 42,870.14 × 17,638.50
4. Step 4: Simplify right side
   31,058.31x = 756,164,964.39
5. Step 5: Solve for x
   x = 756,164,964.39/31,058.31
6. Step 6: Final answer
   x = 24,346.62