Finding the Fourth Proportional to 2,098.72, 2,895.78 and 1,214.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.72 : 2,895.78 = 1,214.20 : x
2. Step 2: Convert to fraction form
   2,098.72/2,895.78 = 1,214.20/x
3. Step 3: Cross multiply
   2,098.72x = 2,895.78 × 1,214.20
4. Step 4: Simplify right side
   2,098.72x = 3,516,056.08
5. Step 5: Solve for x
   x = 3,516,056.08/2,098.72
6. Step 6: Final answer
   x = 1,675.33