Finding the Fourth Proportional to 9,916.06, 13,684.17 and 5,724.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,916.06 : 13,684.17 = 5,724.31 : x
2. Step 2: Convert to fraction form
   9,916.06/13,684.17 = 5,724.31/x
3. Step 3: Cross multiply
   9,916.06x = 13,684.17 × 5,724.31
4. Step 4: Simplify right side
   9,916.06x = 78,332,431.17
5. Step 5: Solve for x
   x = 78,332,431.17/9,916.06
6. Step 6: Final answer
   x = 7,899.55