Finding the Fourth Proportional to 1,019.56, 1,406.96 and 577.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.56 : 1,406.96 = 577.46 : x
2. Step 2: Convert to fraction form
   1,019.56/1,406.96 = 577.46/x
3. Step 3: Cross multiply
   1,019.56x = 1,406.96 × 577.46
4. Step 4: Simplify right side
   1,019.56x = 812,463.12
5. Step 5: Solve for x
   x = 812,463.12/1,019.56
6. Step 6: Final answer
   x = 796.88