Finding the Fourth Proportional to 1,098.98, 1,648.71 and 449.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.98 : 1,648.71 = 449.78 : x
2. Step 2: Convert to fraction form
   1,098.98/1,648.71 = 449.78/x
3. Step 3: Cross multiply
   1,098.98x = 1,648.71 × 449.78
4. Step 4: Simplify right side
   1,098.98x = 741,556.78
5. Step 5: Solve for x
   x = 741,556.78/1,098.98
6. Step 6: Final answer
   x = 674.77