Finding the Fourth Proportional to 1,264.89, 1,745.69 and 767.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.89 : 1,745.69 = 767.55 : x
2. Step 2: Convert to fraction form
   1,264.89/1,745.69 = 767.55/x
3. Step 3: Cross multiply
   1,264.89x = 1,745.69 × 767.55
4. Step 4: Simplify right side
   1,264.89x = 1,339,900.52
5. Step 5: Solve for x
   x = 1,339,900.52/1,264.89
6. Step 6: Final answer
   x = 1,059.30