Finding the Fourth Proportional to 2,406.78, 3,609.77 and 675

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406.78 : 3,609.77 = 675 : x
2. Step 2: Convert to fraction form
   2,406.78/3,609.77 = 675/x
3. Step 3: Cross multiply
   2,406.78x = 3,609.77 × 675
4. Step 4: Simplify right side
   2,406.78x = 2,436,591.38
5. Step 5: Solve for x
   x = 2,436,591.38/2,406.78
6. Step 6: Final answer
   x = 1,012.39