Finding the Fourth Proportional to 10,839.27, 16,255.65 and 5,642.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,839.27 : 16,255.65 = 5,642.31 : x
2. Step 2: Convert to fraction form
   10,839.27/16,255.65 = 5,642.31/x
3. Step 3: Cross multiply
   10,839.27x = 16,255.65 × 5,642.31
4. Step 4: Simplify right side
   10,839.27x = 91,719,416.55
5. Step 5: Solve for x
   x = 91,719,416.55/10,839.27
6. Step 6: Final answer
   x = 8,461.77