Finding the Fourth Proportional to 1,514.82, 2,271.18 and 857.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,514.82 : 2,271.18 = 857.14 : x
2. Step 2: Convert to fraction form
   1,514.82/2,271.18 = 857.14/x
3. Step 3: Cross multiply
   1,514.82x = 2,271.18 × 857.14
4. Step 4: Simplify right side
   1,514.82x = 1,946,719.23
5. Step 5: Solve for x
   x = 1,946,719.23/1,514.82
6. Step 6: Final answer
   x = 1,285.12