Finding the Fourth Proportional to 2,151.32, 3,227.21 and 764.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,151.32 : 3,227.21 = 764.78 : x
2. Step 2: Convert to fraction form
   2,151.32/3,227.21 = 764.78/x
3. Step 3: Cross multiply
   2,151.32x = 3,227.21 × 764.78
4. Step 4: Simplify right side
   2,151.32x = 2,468,109.91
5. Step 5: Solve for x
   x = 2,468,109.91/2,151.32
6. Step 6: Final answer
   x = 1,147.26