Finding the Fourth Proportional to 1,019.24, 1,406.55 and 577.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.24 : 1,406.55 = 577.13 : x
2. Step 2: Convert to fraction form
   1,019.24/1,406.55 = 577.13/x
3. Step 3: Cross multiply
   1,019.24x = 1,406.55 × 577.13
4. Step 4: Simplify right side
   1,019.24x = 811,759.32
5. Step 5: Solve for x
   x = 811,759.32/1,019.24
6. Step 6: Final answer
   x = 796.44