Finding the Fourth Proportional to 9,742.78, 14,627.13 and 5,129.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.78 : 14,627.13 = 5,129.02 : x
2. Step 2: Convert to fraction form
   9,742.78/14,627.13 = 5,129.02/x
3. Step 3: Cross multiply
   9,742.78x = 14,627.13 × 5,129.02
4. Step 4: Simplify right side
   9,742.78x = 75,022,842.31
5. Step 5: Solve for x
   x = 75,022,842.31/9,742.78
6. Step 6: Final answer
   x = 7,700.35