Finding the Fourth Proportional to 2,414.64, 3,621.72 and 854.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414.64 : 3,621.72 = 854.48 : x
2. Step 2: Convert to fraction form
   2,414.64/3,621.72 = 854.48/x
3. Step 3: Cross multiply
   2,414.64x = 3,621.72 × 854.48
4. Step 4: Simplify right side
   2,414.64x = 3,094,687.31
5. Step 5: Solve for x
   x = 3,094,687.31/2,414.64
6. Step 6: Final answer
   x = 1,281.64