Finding the Fourth Proportional to 2,098.30, 2,896.18 and 1,214.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.30 : 2,896.18 = 1,214.62 : x
2. Step 2: Convert to fraction form
   2,098.30/2,896.18 = 1,214.62/x
3. Step 3: Cross multiply
   2,098.30x = 2,896.18 × 1,214.62
4. Step 4: Simplify right side
   2,098.30x = 3,517,758.15
5. Step 5: Solve for x
   x = 3,517,758.15/2,098.30
6. Step 6: Final answer
   x = 1,676.48