Finding the Fourth Proportional to 1,162.77, 1,744.56 and 855.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.77 : 1,744.56 = 855.78 : x
2. Step 2: Convert to fraction form
   1,162.77/1,744.56 = 855.78/x
3. Step 3: Cross multiply
   1,162.77x = 1,744.56 × 855.78
4. Step 4: Simplify right side
   1,162.77x = 1,492,959.56
5. Step 5: Solve for x
   x = 1,492,959.56/1,162.77
6. Step 6: Final answer
   x = 1,283.97