Finding the Fourth Proportional to 1,098.82, 1,648.23 and 329.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.82 : 1,648.23 = 329.86 : x
2. Step 2: Convert to fraction form
   1,098.82/1,648.23 = 329.86/x
3. Step 3: Cross multiply
   1,098.82x = 1,648.23 × 329.86
4. Step 4: Simplify right side
   1,098.82x = 543,685.15
5. Step 5: Solve for x
   x = 543,685.15/1,098.82
6. Step 6: Final answer
   x = 494.79