Finding the Fourth Proportional to 2,152.32, 3,228.71 and 765.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.32 : 3,228.71 = 765.78 : x
2. Step 2: Convert to fraction form
   2,152.32/3,228.71 = 765.78/x
3. Step 3: Cross multiply
   2,152.32x = 3,228.71 × 765.78
4. Step 4: Simplify right side
   2,152.32x = 2,472,481.54
5. Step 5: Solve for x
   x = 2,472,481.54/2,152.32
6. Step 6: Final answer
   x = 1,148.75