Finding the Fourth Proportional to 10,116.14, 13,960.06 and 5,639.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.14 : 13,960.06 = 5,639.62 : x
2. Step 2: Convert to fraction form
   10,116.14/13,960.06 = 5,639.62/x
3. Step 3: Cross multiply
   10,116.14x = 13,960.06 × 5,639.62
4. Step 4: Simplify right side
   10,116.14x = 78,729,433.58
5. Step 5: Solve for x
   x = 78,729,433.58/10,116.14
6. Step 6: Final answer
   x = 7,782.56