Finding the Fourth Proportional to 10,116.08, 13,960.52 and 5,640.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.08 : 13,960.52 = 5,640.02 : x
2. Step 2: Convert to fraction form
   10,116.08/13,960.52 = 5,640.02/x
3. Step 3: Cross multiply
   10,116.08x = 13,960.52 × 5,640.02
4. Step 4: Simplify right side
   10,116.08x = 78,737,612.01
5. Step 5: Solve for x
   x = 78,737,612.01/10,116.08
6. Step 6: Final answer
   x = 7,783.41