Finding the Fourth Proportional to 2,151.74, 3,227.63 and 765.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,151.74 : 3,227.63 = 765.02 : x
2. Step 2: Convert to fraction form
   2,151.74/3,227.63 = 765.02/x
3. Step 3: Cross multiply
   2,151.74x = 3,227.63 × 765.02
4. Step 4: Simplify right side
   2,151.74x = 2,469,201.50
5. Step 5: Solve for x
   x = 2,469,201.50/2,151.74
6. Step 6: Final answer
   x = 1,147.54