Finding the Fourth Proportional to 1,099.32, 1,648.71 and 329.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.32 : 1,648.71 = 329.82 : x
2. Step 2: Convert to fraction form
   1,099.32/1,648.71 = 329.82/x
3. Step 3: Cross multiply
   1,099.32x = 1,648.71 × 329.82
4. Step 4: Simplify right side
   1,099.32x = 543,777.53
5. Step 5: Solve for x
   x = 543,777.53/1,099.32
6. Step 6: Final answer
   x = 494.65