Finding the Fourth Proportional to 1,271.91, 1,755.57 and 774.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.91 : 1,755.57 = 774.83 : x
2. Step 2: Convert to fraction form
   1,271.91/1,755.57 = 774.83/x
3. Step 3: Cross multiply
   1,271.91x = 1,755.57 × 774.83
4. Step 4: Simplify right side
   1,271.91x = 1,360,259.53
5. Step 5: Solve for x
   x = 1,360,259.53/1,271.91
6. Step 6: Final answer
   x = 1,069.46