Finding the Fourth Proportional to 1,271.77, 1,755.31 and 774.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.77 : 1,755.31 = 774.57 : x
2. Step 2: Convert to fraction form
   1,271.77/1,755.31 = 774.57/x
3. Step 3: Cross multiply
   1,271.77x = 1,755.31 × 774.57
4. Step 4: Simplify right side
   1,271.77x = 1,359,597.82
5. Step 5: Solve for x
   x = 1,359,597.82/1,271.77
6. Step 6: Final answer
   x = 1,069.06