Finding the Fourth Proportional to 1,019.33, 1,406.58 and 577.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.33 : 1,406.58 = 577.27 : x
2. Step 2: Convert to fraction form
   1,019.33/1,406.58 = 577.27/x
3. Step 3: Cross multiply
   1,019.33x = 1,406.58 × 577.27
4. Step 4: Simplify right side
   1,019.33x = 811,976.44
5. Step 5: Solve for x
   x = 811,976.44/1,019.33
6. Step 6: Final answer
   x = 796.58