Finding the Fourth Proportional to 1,514.27, 2,269.74 and 863.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,514.27 : 2,269.74 = 863.57 : x
2. Step 2: Convert to fraction form
   1,514.27/2,269.74 = 863.57/x
3. Step 3: Cross multiply
   1,514.27x = 2,269.74 × 863.57
4. Step 4: Simplify right side
   1,514.27x = 1,960,079.37
5. Step 5: Solve for x
   x = 1,960,079.37/1,514.27
6. Step 6: Final answer
   x = 1,294.41