Finding the Fourth Proportional to 9,724.80, 14,578.56 and 4,523.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,724.80 : 14,578.56 = 4,523.52 : x
2. Step 2: Convert to fraction form
   9,724.80/14,578.56 = 4,523.52/x
3. Step 3: Cross multiply
   9,724.80x = 14,578.56 × 4,523.52
4. Step 4: Simplify right side
   9,724.80x = 65,946,407.73
5. Step 5: Solve for x
   x = 65,946,407.73/9,724.80
6. Step 6: Final answer
   x = 6,781.26