Finding the Fourth Proportional to 1,162.27, 1,744.62 and 854.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.27 : 1,744.62 = 854.47 : x
2. Step 2: Convert to fraction form
   1,162.27/1,744.62 = 854.47/x
3. Step 3: Cross multiply
   1,162.27x = 1,744.62 × 854.47
4. Step 4: Simplify right side
   1,162.27x = 1,490,725.45
5. Step 5: Solve for x
   x = 1,490,725.45/1,162.27
6. Step 6: Final answer
   x = 1,282.60