Finding the Fourth Proportional to 10,494.25, 14,481.78 and 5,714.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.25 : 14,481.78 = 5,714.28 : x
2. Step 2: Convert to fraction form
   10,494.25/14,481.78 = 5,714.28/x
3. Step 3: Cross multiply
   10,494.25x = 14,481.78 × 5,714.28
4. Step 4: Simplify right side
   10,494.25x = 82,752,945.82
5. Step 5: Solve for x
   x = 82,752,945.82/10,494.25
6. Step 6: Final answer
   x = 7,885.55