Finding the Fourth Proportional to 1,061.13, 1,464.24 and 589.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.13 : 1,464.24 = 589.01 : x
2. Step 2: Convert to fraction form
   1,061.13/1,464.24 = 589.01/x
3. Step 3: Cross multiply
   1,061.13x = 1,464.24 × 589.01
4. Step 4: Simplify right side
   1,061.13x = 862,452.00
5. Step 5: Solve for x
   x = 862,452.00/1,061.13
6. Step 6: Final answer
   x = 812.77