Finding the Fourth Proportional to 1,514.42, 2,269.20 and 864.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,514.42 : 2,269.20 = 864.80 : x
2. Step 2: Convert to fraction form
   1,514.42/2,269.20 = 864.80/x
3. Step 3: Cross multiply
   1,514.42x = 2,269.20 × 864.80
4. Step 4: Simplify right side
   1,514.42x = 1,962,404.16
5. Step 5: Solve for x
   x = 1,962,404.16/1,514.42
6. Step 6: Final answer
   x = 1,295.81