Finding the Fourth Proportional to 9,627.48, 14,440.50 and 5,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.48 : 14,440.50 = 5,728.50 : x
2. Step 2: Convert to fraction form
   9,627.48/14,440.50 = 5,728.50/x
3. Step 3: Cross multiply
   9,627.48x = 14,440.50 × 5,728.50
4. Step 4: Simplify right side
   9,627.48x = 82,722,404.25
5. Step 5: Solve for x
   x = 82,722,404.25/9,627.48
6. Step 6: Final answer
   x = 8,592.32