Finding the Fourth Proportional to 2,089.18, 2,882.82 and 1,204.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.18 : 2,882.82 = 1,204.93 : x
2. Step 2: Convert to fraction form
   2,089.18/2,882.82 = 1,204.93/x
3. Step 3: Cross multiply
   2,089.18x = 2,882.82 × 1,204.93
4. Step 4: Simplify right side
   2,089.18x = 3,473,596.30
5. Step 5: Solve for x
   x = 3,473,596.30/2,089.18
6. Step 6: Final answer
   x = 1,662.66