Finding the Fourth Proportional to 1,256.27, 1,733.27 and 813.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.27 : 1,733.27 = 813.80 : x
2. Step 2: Convert to fraction form
   1,256.27/1,733.27 = 813.80/x
3. Step 3: Cross multiply
   1,256.27x = 1,733.27 × 813.80
4. Step 4: Simplify right side
   1,256.27x = 1,410,535.39
5. Step 5: Solve for x
   x = 1,410,535.39/1,256.27
6. Step 6: Final answer
   x = 1,122.80