Finding the Fourth Proportional to 2,496.42, 3,744.54 and 765

Step by Step Solution

1. Step 1: Write the proportion equation
   2,496.42 : 3,744.54 = 765 : x
2. Step 2: Convert to fraction form
   2,496.42/3,744.54 = 765/x
3. Step 3: Cross multiply
   2,496.42x = 3,744.54 × 765
4. Step 4: Simplify right side
   2,496.42x = 2,864,573.10
5. Step 5: Solve for x
   x = 2,864,573.10/2,496.42
6. Step 6: Final answer
   x = 1,147.47