Finding the Fourth Proportional to 9,851.50, 14,781.57 and 5,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,851.50 : 14,781.57 = 5,747.50 : x
2. Step 2: Convert to fraction form
   9,851.50/14,781.57 = 5,747.50/x
3. Step 3: Cross multiply
   9,851.50x = 14,781.57 × 5,747.50
4. Step 4: Simplify right side
   9,851.50x = 84,957,073.58
5. Step 5: Solve for x
   x = 84,957,073.58/9,851.50
6. Step 6: Final answer
   x = 8,623.77