Finding the Fourth Proportional to 1,264.24, 1,744.23 and 766.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.24 : 1,744.23 = 766.72 : x
2. Step 2: Convert to fraction form
   1,264.24/1,744.23 = 766.72/x
3. Step 3: Cross multiply
   1,264.24x = 1,744.23 × 766.72
4. Step 4: Simplify right side
   1,264.24x = 1,337,336.03
5. Step 5: Solve for x
   x = 1,337,336.03/1,264.24
6. Step 6: Final answer
   x = 1,057.82