Finding the Fourth Proportional to 2,132.50, 3,200.20 and 764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,132.50 : 3,200.20 = 764.50 : x
2. Step 2: Convert to fraction form
   2,132.50/3,200.20 = 764.50/x
3. Step 3: Cross multiply
   2,132.50x = 3,200.20 × 764.50
4. Step 4: Simplify right side
   2,132.50x = 2,446,552.90
5. Step 5: Solve for x
   x = 2,446,552.90/2,132.50
6. Step 6: Final answer
   x = 1,147.27