Finding the Fourth Proportional to 10,116.20, 13,960.42 and 5,640.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.20 : 13,960.42 = 5,640.24 : x
2. Step 2: Convert to fraction form
   10,116.20/13,960.42 = 5,640.24/x
3. Step 3: Cross multiply
   10,116.20x = 13,960.42 × 5,640.24
4. Step 4: Simplify right side
   10,116.20x = 78,740,126.35
5. Step 5: Solve for x
   x = 78,740,126.35/10,116.20
6. Step 6: Final answer
   x = 7,783.57