Finding the Fourth Proportional to 2,152.31, 3,229.88 and 765.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.31 : 3,229.88 = 765.62 : x
2. Step 2: Convert to fraction form
   2,152.31/3,229.88 = 765.62/x
3. Step 3: Cross multiply
   2,152.31x = 3,229.88 × 765.62
4. Step 4: Simplify right side
   2,152.31x = 2,472,852.86
5. Step 5: Solve for x
   x = 2,472,852.86/2,152.31
6. Step 6: Final answer
   x = 1,148.93