Finding the Fourth Proportional to 2,408.78, 3,612.40 and 1,022.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,408.78 : 3,612.40 = 1,022.06 : x
2. Step 2: Convert to fraction form
   2,408.78/3,612.40 = 1,022.06/x
3. Step 3: Cross multiply
   2,408.78x = 3,612.40 × 1,022.06
4. Step 4: Simplify right side
   2,408.78x = 3,692,089.54
5. Step 5: Solve for x
   x = 3,692,089.54/2,408.78
6. Step 6: Final answer
   x = 1,532.76