Finding the Fourth Proportional to 1,061.11, 1,464.42 and 589.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.11 : 1,464.42 = 589.05 : x
2. Step 2: Convert to fraction form
   1,061.11/1,464.42 = 589.05/x
3. Step 3: Cross multiply
   1,061.11x = 1,464.42 × 589.05
4. Step 4: Simplify right side
   1,061.11x = 862,616.60
5. Step 5: Solve for x
   x = 862,616.60/1,061.11
6. Step 6: Final answer
   x = 812.94