Finding the Fourth Proportional to 10,116.65, 13,960.94 and 5,640.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.65 : 13,960.94 = 5,640.45 : x
2. Step 2: Convert to fraction form
   10,116.65/13,960.94 = 5,640.45/x
3. Step 3: Cross multiply
   10,116.65x = 13,960.94 × 5,640.45
4. Step 4: Simplify right side
   10,116.65x = 78,745,955.82
5. Step 5: Solve for x
   x = 78,745,955.82/10,116.65
6. Step 6: Final answer
   x = 7,783.80