Finding the Fourth Proportional to 10,116.54, 13,959.24 and 5,640.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.54 : 13,959.24 = 5,640.30 : x
2. Step 2: Convert to fraction form
   10,116.54/13,959.24 = 5,640.30/x
3. Step 3: Cross multiply
   10,116.54x = 13,959.24 × 5,640.30
4. Step 4: Simplify right side
   10,116.54x = 78,734,301.37
5. Step 5: Solve for x
   x = 78,734,301.37/10,116.54
6. Step 6: Final answer
   x = 7,782.73