Finding the Fourth Proportional to 2,150.68, 3,226.50 and 764.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,150.68 : 3,226.50 = 764.07 : x
2. Step 2: Convert to fraction form
   2,150.68/3,226.50 = 764.07/x
3. Step 3: Cross multiply
   2,150.68x = 3,226.50 × 764.07
4. Step 4: Simplify right side
   2,150.68x = 2,465,271.86
5. Step 5: Solve for x
   x = 2,465,271.86/2,150.68
6. Step 6: Final answer
   x = 1,146.28