Finding the Fourth Proportional to 10,114.94, 13,959.09 and 5,638.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.94 : 13,959.09 = 5,638.72 : x
2. Step 2: Convert to fraction form
   10,114.94/13,959.09 = 5,638.72/x
3. Step 3: Cross multiply
   10,114.94x = 13,959.09 × 5,638.72
4. Step 4: Simplify right side
   10,114.94x = 78,711,399.96
5. Step 5: Solve for x
   x = 78,711,399.96/10,114.94
6. Step 6: Final answer
   x = 7,781.70