Finding the Fourth Proportional to 9,149.16, 12,619.42 and 5,613.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,149.16 : 12,619.42 = 5,613.78 : x
2. Step 2: Convert to fraction form
   9,149.16/12,619.42 = 5,613.78/x
3. Step 3: Cross multiply
   9,149.16x = 12,619.42 × 5,613.78
4. Step 4: Simplify right side
   9,149.16x = 70,842,647.61
5. Step 5: Solve for x
   x = 70,842,647.61/9,149.16
6. Step 6: Final answer
   x = 7,743.08