Finding the Fourth Proportional to 1,061.24, 1,464.46 and 589.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.24 : 1,464.46 = 589.18 : x
2. Step 2: Convert to fraction form
   1,061.24/1,464.46 = 589.18/x
3. Step 3: Cross multiply
   1,061.24x = 1,464.46 × 589.18
4. Step 4: Simplify right side
   1,061.24x = 862,830.54
5. Step 5: Solve for x
   x = 862,830.54/1,061.24
6. Step 6: Final answer
   x = 813.04