Finding the Fourth Proportional to 10,116.49, 13,960.77 and 5,640.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.49 : 13,960.77 = 5,640.15 : x
2. Step 2: Convert to fraction form
   10,116.49/13,960.77 = 5,640.15/x
3. Step 3: Cross multiply
   10,116.49x = 13,960.77 × 5,640.15
4. Step 4: Simplify right side
   10,116.49x = 78,740,836.92
5. Step 5: Solve for x
   x = 78,740,836.92/10,116.49
6. Step 6: Final answer
   x = 7,783.42