Finding the Fourth Proportional to 2,406.57, 3,609.83 and 762.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406.57 : 3,609.83 = 762.81 : x
2. Step 2: Convert to fraction form
   2,406.57/3,609.83 = 762.81/x
3. Step 3: Cross multiply
   2,406.57x = 3,609.83 × 762.81
4. Step 4: Simplify right side
   2,406.57x = 2,753,610.61
5. Step 5: Solve for x
   x = 2,753,610.61/2,406.57
6. Step 6: Final answer
   x = 1,144.21