Finding the Fourth Proportional to 2,089.14, 2,882.84 and 1,204.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.14 : 2,882.84 = 1,204.62 : x
2. Step 2: Convert to fraction form
   2,089.14/2,882.84 = 1,204.62/x
3. Step 3: Cross multiply
   2,089.14x = 2,882.84 × 1,204.62
4. Step 4: Simplify right side
   2,089.14x = 3,472,726.72
5. Step 5: Solve for x
   x = 3,472,726.72/2,089.14
6. Step 6: Final answer
   x = 1,662.28