Finding the Fourth Proportional to 1,019.12, 1,406.24 and 577.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.12 : 1,406.24 = 577.04 : x
2. Step 2: Convert to fraction form
   1,019.12/1,406.24 = 577.04/x
3. Step 3: Cross multiply
   1,019.12x = 1,406.24 × 577.04
4. Step 4: Simplify right side
   1,019.12x = 811,456.73
5. Step 5: Solve for x
   x = 811,456.73/1,019.12
6. Step 6: Final answer
   x = 796.23