Finding the Fourth Proportional to 25,687.72, 35,447.34 and 14,509

Step by Step Solution

1. Step 1: Write the proportion equation
   25,687.72 : 35,447.34 = 14,509 : x
2. Step 2: Convert to fraction form
   25,687.72/35,447.34 = 14,509/x
3. Step 3: Cross multiply
   25,687.72x = 35,447.34 × 14,509
4. Step 4: Simplify right side
   25,687.72x = 514,305,456.06
5. Step 5: Solve for x
   x = 514,305,456.06/25,687.72
6. Step 6: Final answer
   x = 20,021.45