Finding the Fourth Proportional to 2,520.42, 3,781.24 and 765.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,520.42 : 3,781.24 = 765.40 : x
2. Step 2: Convert to fraction form
   2,520.42/3,781.24 = 765.40/x
3. Step 3: Cross multiply
   2,520.42x = 3,781.24 × 765.40
4. Step 4: Simplify right side
   2,520.42x = 2,894,161.10
5. Step 5: Solve for x
   x = 2,894,161.10/2,520.42
6. Step 6: Final answer
   x = 1,148.29