Finding the Fourth Proportional to 10,085.16, 13,917.56 and 6,105.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.16 : 13,917.56 = 6,105.28 : x
2. Step 2: Convert to fraction form
   10,085.16/13,917.56 = 6,105.28/x
3. Step 3: Cross multiply
   10,085.16x = 13,917.56 × 6,105.28
4. Step 4: Simplify right side
   10,085.16x = 84,970,600.72
5. Step 5: Solve for x
   x = 84,970,600.72/10,085.16
6. Step 6: Final answer
   x = 8,425.31