Finding the Fourth Proportional to 2,496.92, 3,745.29 and 765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,496.92 : 3,745.29 = 765.50 : x
2. Step 2: Convert to fraction form
   2,496.92/3,745.29 = 765.50/x
3. Step 3: Cross multiply
   2,496.92x = 3,745.29 × 765.50
4. Step 4: Simplify right side
   2,496.92x = 2,867,019.50
5. Step 5: Solve for x
   x = 2,867,019.50/2,496.92
6. Step 6: Final answer
   x = 1,148.22