Finding the Fourth Proportional to 10,116.06, 13,960.77 and 5,639.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.06 : 13,960.77 = 5,639.79 : x
2. Step 2: Convert to fraction form
   10,116.06/13,960.77 = 5,639.79/x
3. Step 3: Cross multiply
   10,116.06x = 13,960.77 × 5,639.79
4. Step 4: Simplify right side
   10,116.06x = 78,735,863.39
5. Step 5: Solve for x
   x = 78,735,863.39/10,116.06
6. Step 6: Final answer
   x = 7,783.26