Finding the Fourth Proportional to 10,116.16, 13,960.80 and 5,640.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.16 : 13,960.80 = 5,640.28 : x
2. Step 2: Convert to fraction form
   10,116.16/13,960.80 = 5,640.28/x
3. Step 3: Cross multiply
   10,116.16x = 13,960.80 × 5,640.28
4. Step 4: Simplify right side
   10,116.16x = 78,742,821.02
5. Step 5: Solve for x
   x = 78,742,821.02/10,116.16
6. Step 6: Final answer
   x = 7,783.86