Finding the Fourth Proportional to 1,019.47, 1,406.93 and 577.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.47 : 1,406.93 = 577.42 : x
2. Step 2: Convert to fraction form
   1,019.47/1,406.93 = 577.42/x
3. Step 3: Cross multiply
   1,019.47x = 1,406.93 × 577.42
4. Step 4: Simplify right side
   1,019.47x = 812,389.52
5. Step 5: Solve for x
   x = 812,389.52/1,019.47
6. Step 6: Final answer
   x = 796.87