Finding the Fourth Proportional to 1,061.22, 1,464.57 and 589.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.22 : 1,464.57 = 589.16 : x
2. Step 2: Convert to fraction form
   1,061.22/1,464.57 = 589.16/x
3. Step 3: Cross multiply
   1,061.22x = 1,464.57 × 589.16
4. Step 4: Simplify right side
   1,061.22x = 862,869.72
5. Step 5: Solve for x
   x = 862,869.72/1,061.22
6. Step 6: Final answer
   x = 813.09