Finding the Fourth Proportional to 10,105.20, 13,939.56 and 5,912.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.20 : 13,939.56 = 5,912.64 : x
2. Step 2: Convert to fraction form
   10,105.20/13,939.56 = 5,912.64/x
3. Step 3: Cross multiply
   10,105.20x = 13,939.56 × 5,912.64
4. Step 4: Simplify right side
   10,105.20x = 82,419,600.04
5. Step 5: Solve for x
   x = 82,419,600.04/10,105.20
6. Step 6: Final answer
   x = 8,156.16