Finding the Fourth Proportional to 1,266.57, 1,747.71 and 706.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.57 : 1,747.71 = 706.89 : x
2. Step 2: Convert to fraction form
   1,266.57/1,747.71 = 706.89/x
3. Step 3: Cross multiply
   1,266.57x = 1,747.71 × 706.89
4. Step 4: Simplify right side
   1,266.57x = 1,235,438.72
5. Step 5: Solve for x
   x = 1,235,438.72/1,266.57
6. Step 6: Final answer
   x = 975.42