Finding the Fourth Proportional to 1,019.42, 1,406.81 and 577.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.42 : 1,406.81 = 577.34 : x
2. Step 2: Convert to fraction form
   1,019.42/1,406.81 = 577.34/x
3. Step 3: Cross multiply
   1,019.42x = 1,406.81 × 577.34
4. Step 4: Simplify right side
   1,019.42x = 812,202.09
5. Step 5: Solve for x
   x = 812,202.09/1,019.42
6. Step 6: Final answer
   x = 796.73