Finding the Fourth Proportional to 1,019.73, 1,406.97 and 577.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.73 : 1,406.97 = 577.63 : x
2. Step 2: Convert to fraction form
   1,019.73/1,406.97 = 577.63/x
3. Step 3: Cross multiply
   1,019.73x = 1,406.97 × 577.63
4. Step 4: Simplify right side
   1,019.73x = 812,704.56
5. Step 5: Solve for x
   x = 812,704.56/1,019.73
6. Step 6: Final answer
   x = 796.98