Finding the Fourth Proportional to 2,152.61, 3,229.41 and 765.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.61 : 3,229.41 = 765.89 : x
2. Step 2: Convert to fraction form
   2,152.61/3,229.41 = 765.89/x
3. Step 3: Cross multiply
   2,152.61x = 3,229.41 × 765.89
4. Step 4: Simplify right side
   2,152.61x = 2,473,356.68
5. Step 5: Solve for x
   x = 2,473,356.68/2,152.61
6. Step 6: Final answer
   x = 1,149.01