Finding the Fourth Proportional to 1,061.06, 1,464.25 and 589.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.06 : 1,464.25 = 589.03 : x
2. Step 2: Convert to fraction form
   1,061.06/1,464.25 = 589.03/x
3. Step 3: Cross multiply
   1,061.06x = 1,464.25 × 589.03
4. Step 4: Simplify right side
   1,061.06x = 862,487.18
5. Step 5: Solve for x
   x = 862,487.18/1,061.06
6. Step 6: Final answer
   x = 812.85