Finding the Fourth Proportional to 1,269.61, 1,751.29 and 772.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269.61 : 1,751.29 = 772.59 : x
2. Step 2: Convert to fraction form
   1,269.61/1,751.29 = 772.59/x
3. Step 3: Cross multiply
   1,269.61x = 1,751.29 × 772.59
4. Step 4: Simplify right side
   1,269.61x = 1,353,033.78
5. Step 5: Solve for x
   x = 1,353,033.78/1,269.61
6. Step 6: Final answer
   x = 1,065.71