Finding the Fourth Proportional to 2,155.50, 3,233.07 and 769.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,155.50 : 3,233.07 = 769.86 : x
2. Step 2: Convert to fraction form
   2,155.50/3,233.07 = 769.86/x
3. Step 3: Cross multiply
   2,155.50x = 3,233.07 × 769.86
4. Step 4: Simplify right side
   2,155.50x = 2,489,011.27
5. Step 5: Solve for x
   x = 2,489,011.27/2,155.50
6. Step 6: Final answer
   x = 1,154.73