Finding the Fourth Proportional to 1,061.22, 1,464.43 and 589.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.22 : 1,464.43 = 589.12 : x
2. Step 2: Convert to fraction form
   1,061.22/1,464.43 = 589.12/x
3. Step 3: Cross multiply
   1,061.22x = 1,464.43 × 589.12
4. Step 4: Simplify right side
   1,061.22x = 862,725.00
5. Step 5: Solve for x
   x = 862,725.00/1,061.22
6. Step 6: Final answer
   x = 812.96