Finding the Fourth Proportional to 9,306.16, 12,842.49 and 5,114.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,306.16 : 12,842.49 = 5,114.41 : x
2. Step 2: Convert to fraction form
   9,306.16/12,842.49 = 5,114.41/x
3. Step 3: Cross multiply
   9,306.16x = 12,842.49 × 5,114.41
4. Step 4: Simplify right side
   9,306.16x = 65,681,759.28
5. Step 5: Solve for x
   x = 65,681,759.28/9,306.16
6. Step 6: Final answer
   x = 7,057.88