Finding the Fourth Proportional to 10,116.95, 13,960.88 and 5,639.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.95 : 13,960.88 = 5,639.83 : x
2. Step 2: Convert to fraction form
   10,116.95/13,960.88 = 5,639.83/x
3. Step 3: Cross multiply
   10,116.95x = 13,960.88 × 5,639.83
4. Step 4: Simplify right side
   10,116.95x = 78,736,926.75
5. Step 5: Solve for x
   x = 78,736,926.75/10,116.95
6. Step 6: Final answer
   x = 7,782.68