Finding the Fourth Proportional to 10,126.28, 13,974.60 and 5,877.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.28 : 13,974.60 = 5,877.02 : x
2. Step 2: Convert to fraction form
   10,126.28/13,974.60 = 5,877.02/x
3. Step 3: Cross multiply
   10,126.28x = 13,974.60 × 5,877.02
4. Step 4: Simplify right side
   10,126.28x = 82,129,003.69
5. Step 5: Solve for x
   x = 82,129,003.69/10,126.28
6. Step 6: Final answer
   x = 8,110.48