Finding the Fourth Proportional to 1,061.20, 1,464.38 and 589.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.20 : 1,464.38 = 589.07 : x
2. Step 2: Convert to fraction form
   1,061.20/1,464.38 = 589.07/x
3. Step 3: Cross multiply
   1,061.20x = 1,464.38 × 589.07
4. Step 4: Simplify right side
   1,061.20x = 862,625.25
5. Step 5: Solve for x
   x = 862,625.25/1,061.20
6. Step 6: Final answer
   x = 812.88