Finding the Fourth Proportional to 9,140.27, 12,613.38 and 5,996.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140.27 : 12,613.38 = 5,996.25 : x
2. Step 2: Convert to fraction form
   9,140.27/12,613.38 = 5,996.25/x
3. Step 3: Cross multiply
   9,140.27x = 12,613.38 × 5,996.25
4. Step 4: Simplify right side
   9,140.27x = 75,632,979.83
5. Step 5: Solve for x
   x = 75,632,979.83/9,140.27
6. Step 6: Final answer
   x = 8,274.70