Finding the Fourth Proportional to 2,098.71, 2,896.20 and 1,214.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.71 : 2,896.20 = 1,214.46 : x
2. Step 2: Convert to fraction form
   2,098.71/2,896.20 = 1,214.46/x
3. Step 3: Cross multiply
   2,098.71x = 2,896.20 × 1,214.46
4. Step 4: Simplify right side
   2,098.71x = 3,517,319.05
5. Step 5: Solve for x
   x = 3,517,319.05/2,098.71
6. Step 6: Final answer
   x = 1,675.94