Finding the Fourth Proportional to 10,116.16, 13,959 and 5,639.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.16 : 13,959 = 5,639.68 : x
2. Step 2: Convert to fraction form
   10,116.16/13,959 = 5,639.68/x
3. Step 3: Cross multiply
   10,116.16x = 13,959 × 5,639.68
4. Step 4: Simplify right side
   10,116.16x = 78,724,293.12
5. Step 5: Solve for x
   x = 78,724,293.12/10,116.16
6. Step 6: Final answer
   x = 7,782.03