Finding the Fourth Proportional to 1,061.28, 1,464.57 and 589.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.28 : 1,464.57 = 589.23 : x
2. Step 2: Convert to fraction form
   1,061.28/1,464.57 = 589.23/x
3. Step 3: Cross multiply
   1,061.28x = 1,464.57 × 589.23
4. Step 4: Simplify right side
   1,061.28x = 862,968.58
5. Step 5: Solve for x
   x = 862,968.58/1,061.28
6. Step 6: Final answer
   x = 813.14