Finding the Fourth Proportional to 9,522.16, 14,287.28 and 5,134.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,522.16 : 14,287.28 = 5,134.50 : x
2. Step 2: Convert to fraction form
   9,522.16/14,287.28 = 5,134.50/x
3. Step 3: Cross multiply
   9,522.16x = 14,287.28 × 5,134.50
4. Step 4: Simplify right side
   9,522.16x = 73,357,942.05
5. Step 5: Solve for x
   x = 73,357,942.05/9,522.16
6. Step 6: Final answer
   x = 7,703.92