Finding the Fourth Proportional to 1,597.27, 2,396.59 and 775.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,597.27 : 2,396.59 = 775.55 : x
2. Step 2: Convert to fraction form
   1,597.27/2,396.59 = 775.55/x
3. Step 3: Cross multiply
   1,597.27x = 2,396.59 × 775.55
4. Step 4: Simplify right side
   1,597.27x = 1,858,672.69
5. Step 5: Solve for x
   x = 1,858,672.69/1,597.27
6. Step 6: Final answer
   x = 1,163.66