Finding the Fourth Proportional to 2,256.57, 3,383.89 and 775.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.57 : 3,383.89 = 775.94 : x
2. Step 2: Convert to fraction form
   2,256.57/3,383.89 = 775.94/x
3. Step 3: Cross multiply
   2,256.57x = 3,383.89 × 775.94
4. Step 4: Simplify right side
   2,256.57x = 2,625,701.63
5. Step 5: Solve for x
   x = 2,625,701.63/2,256.57
6. Step 6: Final answer
   x = 1,163.58