Finding the Fourth Proportional to 10,141.77, 13,993.92 and 5,892.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.77 : 13,993.92 = 5,892.96 : x
2. Step 2: Convert to fraction form
   10,141.77/13,993.92 = 5,892.96/x
3. Step 3: Cross multiply
   10,141.77x = 13,993.92 × 5,892.96
4. Step 4: Simplify right side
   10,141.77x = 82,465,610.80
5. Step 5: Solve for x
   x = 82,465,610.80/10,141.77
6. Step 6: Final answer
   x = 8,131.28