Finding the Fourth Proportional to 1,589.02, 2,192.82 and 871.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.02 : 2,192.82 = 871.20 : x
2. Step 2: Convert to fraction form
   1,589.02/2,192.82 = 871.20/x
3. Step 3: Cross multiply
   1,589.02x = 2,192.82 × 871.20
4. Step 4: Simplify right side
   1,589.02x = 1,910,384.78
5. Step 5: Solve for x
   x = 1,910,384.78/1,589.02
6. Step 6: Final answer
   x = 1,202.24