Finding the Fourth Proportional to 1,019.50, 1,403.82 and 871.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.50 : 1,403.82 = 871.81 : x
2. Step 2: Convert to fraction form
   1,019.50/1,403.82 = 871.81/x
3. Step 3: Cross multiply
   1,019.50x = 1,403.82 × 871.81
4. Step 4: Simplify right side
   1,019.50x = 1,223,864.31
5. Step 5: Solve for x
   x = 1,223,864.31/1,019.50
6. Step 6: Final answer
   x = 1,200.46