Finding the Fourth Proportional to 1,019.28, 1,406.46 and 577.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.28 : 1,406.46 = 577.05 : x
2. Step 2: Convert to fraction form
   1,019.28/1,406.46 = 577.05/x
3. Step 3: Cross multiply
   1,019.28x = 1,406.46 × 577.05
4. Step 4: Simplify right side
   1,019.28x = 811,597.74
5. Step 5: Solve for x
   x = 811,597.74/1,019.28
6. Step 6: Final answer
   x = 796.25