Finding the Fourth Proportional to 1,019.45, 1,406.80 and 577.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.45 : 1,406.80 = 577.33 : x
2. Step 2: Convert to fraction form
   1,019.45/1,406.80 = 577.33/x
3. Step 3: Cross multiply
   1,019.45x = 1,406.80 × 577.33
4. Step 4: Simplify right side
   1,019.45x = 812,185.05
5. Step 5: Solve for x
   x = 812,185.05/1,019.45
6. Step 6: Final answer
   x = 796.69