Finding the Fourth Proportional to 2,408.54, 3,613.50 and 1,022.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,408.54 : 3,613.50 = 1,022.09 : x
2. Step 2: Convert to fraction form
   2,408.54/3,613.50 = 1,022.09/x
3. Step 3: Cross multiply
   2,408.54x = 3,613.50 × 1,022.09
4. Step 4: Simplify right side
   2,408.54x = 3,693,304.15
5. Step 5: Solve for x
   x = 3,693,304.15/2,408.54
6. Step 6: Final answer
   x = 1,533.42