Finding the Fourth Proportional to 1,019.49, 1,406.80 and 577.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.49 : 1,406.80 = 577.30 : x
2. Step 2: Convert to fraction form
   1,019.49/1,406.80 = 577.30/x
3. Step 3: Cross multiply
   1,019.49x = 1,406.80 × 577.30
4. Step 4: Simplify right side
   1,019.49x = 812,145.64
5. Step 5: Solve for x
   x = 812,145.64/1,019.49
6. Step 6: Final answer
   x = 796.62