Finding the Fourth Proportional to 1,098.82, 1,641.56 and 838.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.82 : 1,641.56 = 838.09 : x
2. Step 2: Convert to fraction form
   1,098.82/1,641.56 = 838.09/x
3. Step 3: Cross multiply
   1,098.82x = 1,641.56 × 838.09
4. Step 4: Simplify right side
   1,098.82x = 1,375,772.88
5. Step 5: Solve for x
   x = 1,375,772.88/1,098.82
6. Step 6: Final answer
   x = 1,252.04