Finding the Fourth Proportional to 1,019.42, 1,406.66 and 577.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.42 : 1,406.66 = 577.22 : x
2. Step 2: Convert to fraction form
   1,019.42/1,406.66 = 577.22/x
3. Step 3: Cross multiply
   1,019.42x = 1,406.66 × 577.22
4. Step 4: Simplify right side
   1,019.42x = 811,952.29
5. Step 5: Solve for x
   x = 811,952.29/1,019.42
6. Step 6: Final answer
   x = 796.48