Finding the Fourth Proportional to 25,825.50, 35,639.20 and 14,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,825.50 : 35,639.20 = 14,647.50 : x
2. Step 2: Convert to fraction form
   25,825.50/35,639.20 = 14,647.50/x
3. Step 3: Cross multiply
   25,825.50x = 35,639.20 × 14,647.50
4. Step 4: Simplify right side
   25,825.50x = 522,025,182.00
5. Step 5: Solve for x
   x = 522,025,182.00/25,825.50
6. Step 6: Final answer
   x = 20,213.56