Finding the Fourth Proportional to 10,399.61, 14,352.45 and 5,684.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,399.61 : 14,352.45 = 5,684.60 : x
2. Step 2: Convert to fraction form
   10,399.61/14,352.45 = 5,684.60/x
3. Step 3: Cross multiply
   10,399.61x = 14,352.45 × 5,684.60
4. Step 4: Simplify right side
   10,399.61x = 81,587,937.27
5. Step 5: Solve for x
   x = 81,587,937.27/10,399.61
6. Step 6: Final answer
   x = 7,845.29