Finding the Fourth Proportional to 9,255.50, 12,772.55 and 5,006.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,255.50 : 12,772.55 = 5,006.55 : x
2. Step 2: Convert to fraction form
   9,255.50/12,772.55 = 5,006.55/x
3. Step 3: Cross multiply
   9,255.50x = 12,772.55 × 5,006.55
4. Step 4: Simplify right side
   9,255.50x = 63,946,410.20
5. Step 5: Solve for x
   x = 63,946,410.20/9,255.50
6. Step 6: Final answer
   x = 6,909.02