Finding the Fourth Proportional to 1,061.38, 1,464.79 and 589.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.38 : 1,464.79 = 589.30 : x
2. Step 2: Convert to fraction form
   1,061.38/1,464.79 = 589.30/x
3. Step 3: Cross multiply
   1,061.38x = 1,464.79 × 589.30
4. Step 4: Simplify right side
   1,061.38x = 863,197.80
5. Step 5: Solve for x
   x = 863,197.80/1,061.38
6. Step 6: Final answer
   x = 813.28