Finding the Fourth Proportional to 2,151.42, 3,227.31 and 765.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,151.42 : 3,227.31 = 765.51 : x
2. Step 2: Convert to fraction form
   2,151.42/3,227.31 = 765.51/x
3. Step 3: Cross multiply
   2,151.42x = 3,227.31 × 765.51
4. Step 4: Simplify right side
   2,151.42x = 2,470,538.08
5. Step 5: Solve for x
   x = 2,470,538.08/2,151.42
6. Step 6: Final answer
   x = 1,148.33