Finding the Fourth Proportional to 1,264.23, 1,744.69 and 766.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.23 : 1,744.69 = 766.59 : x
2. Step 2: Convert to fraction form
   1,264.23/1,744.69 = 766.59/x
3. Step 3: Cross multiply
   1,264.23x = 1,744.69 × 766.59
4. Step 4: Simplify right side
   1,264.23x = 1,337,459.79
5. Step 5: Solve for x
   x = 1,337,459.79/1,264.23
6. Step 6: Final answer
   x = 1,057.92