Finding the Fourth Proportional to 2,408.50, 3,614.37 and 869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,408.50 : 3,614.37 = 869.50 : x
2. Step 2: Convert to fraction form
   2,408.50/3,614.37 = 869.50/x
3. Step 3: Cross multiply
   2,408.50x = 3,614.37 × 869.50
4. Step 4: Simplify right side
   2,408.50x = 3,142,694.72
5. Step 5: Solve for x
   x = 3,142,694.72/2,408.50
6. Step 6: Final answer
   x = 1,304.83