Finding the Fourth Proportional to 2,541.34, 3,812.57 and 762.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,541.34 : 3,812.57 = 762.33 : x
2. Step 2: Convert to fraction form
   2,541.34/3,812.57 = 762.33/x
3. Step 3: Cross multiply
   2,541.34x = 3,812.57 × 762.33
4. Step 4: Simplify right side
   2,541.34x = 2,906,425.05
5. Step 5: Solve for x
   x = 2,906,425.05/2,541.34
6. Step 6: Final answer
   x = 1,143.66