Finding the Fourth Proportional to 10,116.68, 13,960.77 and 5,640.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.68 : 13,960.77 = 5,640.42 : x
2. Step 2: Convert to fraction form
   10,116.68/13,960.77 = 5,640.42/x
3. Step 3: Cross multiply
   10,116.68x = 13,960.77 × 5,640.42
4. Step 4: Simplify right side
   10,116.68x = 78,744,606.32
5. Step 5: Solve for x
   x = 78,744,606.32/10,116.68
6. Step 6: Final answer
   x = 7,783.64