Finding the Fourth Proportional to 1,019.52, 1,406.94 and 577.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.52 : 1,406.94 = 577.44 : x
2. Step 2: Convert to fraction form
   1,019.52/1,406.94 = 577.44/x
3. Step 3: Cross multiply
   1,019.52x = 1,406.94 × 577.44
4. Step 4: Simplify right side
   1,019.52x = 812,423.43
5. Step 5: Solve for x
   x = 812,423.43/1,019.52
6. Step 6: Final answer
   x = 796.87