Finding the Fourth Proportional to 10,116.48, 13,960.75 and 5,640.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.48 : 13,960.75 = 5,640.14 : x
2. Step 2: Convert to fraction form
   10,116.48/13,960.75 = 5,640.14/x
3. Step 3: Cross multiply
   10,116.48x = 13,960.75 × 5,640.14
4. Step 4: Simplify right side
   10,116.48x = 78,740,584.51
5. Step 5: Solve for x
   x = 78,740,584.51/10,116.48
6. Step 6: Final answer
   x = 7,783.40