Finding the Fourth Proportional to 1,266.71, 1,748.59 and 769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.71 : 1,748.59 = 769.50 : x
2. Step 2: Convert to fraction form
   1,266.71/1,748.59 = 769.50/x
3. Step 3: Cross multiply
   1,266.71x = 1,748.59 × 769.50
4. Step 4: Simplify right side
   1,266.71x = 1,345,538.08
5. Step 5: Solve for x
   x = 1,345,538.08/1,266.71
6. Step 6: Final answer
   x = 1,062.23