Finding the Fourth Proportional to 10,105.02, 13,938.08 and 5,913.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.02 : 13,938.08 = 5,913.27 : x
2. Step 2: Convert to fraction form
   10,105.02/13,938.08 = 5,913.27/x
3. Step 3: Cross multiply
   10,105.02x = 13,938.08 × 5,913.27
4. Step 4: Simplify right side
   10,105.02x = 82,419,600.76
5. Step 5: Solve for x
   x = 82,419,600.76/10,105.02
6. Step 6: Final answer
   x = 8,156.30