Finding the Fourth Proportional to 10,116.38, 13,961.16 and 5,640.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.38 : 13,961.16 = 5,640.02 : x
2. Step 2: Convert to fraction form
   10,116.38/13,961.16 = 5,640.02/x
3. Step 3: Cross multiply
   10,116.38x = 13,961.16 × 5,640.02
4. Step 4: Simplify right side
   10,116.38x = 78,741,221.62
5. Step 5: Solve for x
   x = 78,741,221.62/10,116.38
6. Step 6: Final answer
   x = 7,783.54