Finding the Fourth Proportional to 10,127.16, 13,978.41 and 5,879.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,127.16 : 13,978.41 = 5,879.17 : x
2. Step 2: Convert to fraction form
   10,127.16/13,978.41 = 5,879.17/x
3. Step 3: Cross multiply
   10,127.16x = 13,978.41 × 5,879.17
4. Step 4: Simplify right side
   10,127.16x = 82,181,515.84
5. Step 5: Solve for x
   x = 82,181,515.84/10,127.16
6. Step 6: Final answer
   x = 8,114.96