Finding the Fourth Proportional to 2,151.56, 3,227.76 and 764.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,151.56 : 3,227.76 = 764.96 : x
2. Step 2: Convert to fraction form
   2,151.56/3,227.76 = 764.96/x
3. Step 3: Cross multiply
   2,151.56x = 3,227.76 × 764.96
4. Step 4: Simplify right side
   2,151.56x = 2,469,107.29
5. Step 5: Solve for x
   x = 2,469,107.29/2,151.56
6. Step 6: Final answer
   x = 1,147.59