Finding the Fourth Proportional to 1,266.37, 1,747.61 and 768.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.37 : 1,747.61 = 768.69 : x
2. Step 2: Convert to fraction form
   1,266.37/1,747.61 = 768.69/x
3. Step 3: Cross multiply
   1,266.37x = 1,747.61 × 768.69
4. Step 4: Simplify right side
   1,266.37x = 1,343,369.37
5. Step 5: Solve for x
   x = 1,343,369.37/1,266.37
6. Step 6: Final answer
   x = 1,060.81