Finding the Fourth Proportional to 25,684, 35,443.92 and 14,506

Step by Step Solution

1. Step 1: Write the proportion equation
   25,684 : 35,443.92 = 14,506 : x
2. Step 2: Convert to fraction form
   25,684/35,443.92 = 14,506/x
3. Step 3: Cross multiply
   25,684x = 35,443.92 × 14,506
4. Step 4: Simplify right side
   25,684x = 514,149,503.52
5. Step 5: Solve for x
   x = 514,149,503.52/25,684
6. Step 6: Final answer
   x = 20,018.28