Finding the Fourth Proportional to 1,019.14, 1,403.28 and 871.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.14 : 1,403.28 = 871.42 : x
2. Step 2: Convert to fraction form
   1,019.14/1,403.28 = 871.42/x
3. Step 3: Cross multiply
   1,019.14x = 1,403.28 × 871.42
4. Step 4: Simplify right side
   1,019.14x = 1,222,846.26
5. Step 5: Solve for x
   x = 1,222,846.26/1,019.14
6. Step 6: Final answer
   x = 1,199.88