Finding the Fourth Proportional to 14,602.71, 20,144.72 and 9,564.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,602.71 : 20,144.72 = 9,564.75 : x
2. Step 2: Convert to fraction form
   14,602.71/20,144.72 = 9,564.75/x
3. Step 3: Cross multiply
   14,602.71x = 20,144.72 × 9,564.75
4. Step 4: Simplify right side
   14,602.71x = 192,679,162.80
5. Step 5: Solve for x
   x = 192,679,162.80/14,602.71
6. Step 6: Final answer
   x = 13,194.75