Finding the Fourth Proportional to 2,151.38, 3,227.45 and 765.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,151.38 : 3,227.45 = 765.52 : x
2. Step 2: Convert to fraction form
   2,151.38/3,227.45 = 765.52/x
3. Step 3: Cross multiply
   2,151.38x = 3,227.45 × 765.52
4. Step 4: Simplify right side
   2,151.38x = 2,470,665.63
5. Step 5: Solve for x
   x = 2,470,665.63/2,151.38
6. Step 6: Final answer
   x = 1,148.41