Finding the Fourth Proportional to 10,116.71, 13,960.91 and 5,640.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.71 : 13,960.91 = 5,640.38 : x
2. Step 2: Convert to fraction form
   10,116.71/13,960.91 = 5,640.38/x
3. Step 3: Cross multiply
   10,116.71x = 13,960.91 × 5,640.38
4. Step 4: Simplify right side
   10,116.71x = 78,744,781.84
5. Step 5: Solve for x
   x = 78,744,781.84/10,116.71
6. Step 6: Final answer
   x = 7,783.64