Finding the Fourth Proportional to 2,194.50, 3,289.98 and 1,098.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,194.50 : 3,289.98 = 1,098.30 : x
2. Step 2: Convert to fraction form
   2,194.50/3,289.98 = 1,098.30/x
3. Step 3: Cross multiply
   2,194.50x = 3,289.98 × 1,098.30
4. Step 4: Simplify right side
   2,194.50x = 3,613,385.03
5. Step 5: Solve for x
   x = 3,613,385.03/2,194.50
6. Step 6: Final answer
   x = 1,646.56