Finding the Fourth Proportional to 2,138.31, 3,206.52 and 1,098.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.31 : 3,206.52 = 1,098.90 : x
2. Step 2: Convert to fraction form
   2,138.31/3,206.52 = 1,098.90/x
3. Step 3: Cross multiply
   2,138.31x = 3,206.52 × 1,098.90
4. Step 4: Simplify right side
   2,138.31x = 3,523,644.83
5. Step 5: Solve for x
   x = 3,523,644.83/2,138.31
6. Step 6: Final answer
   x = 1,647.86