Finding the Fourth Proportional to 10,116.17, 13,960.37 and 5,640.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.17 : 13,960.37 = 5,640.20 : x
2. Step 2: Convert to fraction form
   10,116.17/13,960.37 = 5,640.20/x
3. Step 3: Cross multiply
   10,116.17x = 13,960.37 × 5,640.20
4. Step 4: Simplify right side
   10,116.17x = 78,739,180.87
5. Step 5: Solve for x
   x = 78,739,180.87/10,116.17
6. Step 6: Final answer
   x = 7,783.50