Finding the Fourth Proportional to 10,128.09, 13,978.35 and 5,879.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,128.09 : 13,978.35 = 5,879.16 : x
2. Step 2: Convert to fraction form
   10,128.09/13,978.35 = 5,879.16/x
3. Step 3: Cross multiply
   10,128.09x = 13,978.35 × 5,879.16
4. Step 4: Simplify right side
   10,128.09x = 82,180,900.34
5. Step 5: Solve for x
   x = 82,180,900.34/10,128.09
6. Step 6: Final answer
   x = 8,114.16