Finding the Fourth Proportional to 1,262.43, 1,742.24 and 765.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.43 : 1,742.24 = 765.12 : x
2. Step 2: Convert to fraction form
   1,262.43/1,742.24 = 765.12/x
3. Step 3: Cross multiply
   1,262.43x = 1,742.24 × 765.12
4. Step 4: Simplify right side
   1,262.43x = 1,333,022.67
5. Step 5: Solve for x
   x = 1,333,022.67/1,262.43
6. Step 6: Final answer
   x = 1,055.92