Finding the Fourth Proportional to 2,155.65, 3,233.83 and 768.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,155.65 : 3,233.83 = 768.69 : x
2. Step 2: Convert to fraction form
   2,155.65/3,233.83 = 768.69/x
3. Step 3: Cross multiply
   2,155.65x = 3,233.83 × 768.69
4. Step 4: Simplify right side
   2,155.65x = 2,485,812.78
5. Step 5: Solve for x
   x = 2,485,812.78/2,155.65
6. Step 6: Final answer
   x = 1,153.16