Finding the Fourth Proportional to 2,150.49, 3,225.78 and 764.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,150.49 : 3,225.78 = 764.31 : x
2. Step 2: Convert to fraction form
   2,150.49/3,225.78 = 764.31/x
3. Step 3: Cross multiply
   2,150.49x = 3,225.78 × 764.31
4. Step 4: Simplify right side
   2,150.49x = 2,465,495.91
5. Step 5: Solve for x
   x = 2,465,495.91/2,150.49
6. Step 6: Final answer
   x = 1,146.48