Finding the Fourth Proportional to 1,061.09, 1,464.32 and 589.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.09 : 1,464.32 = 589.00 : x
2. Step 2: Convert to fraction form
   1,061.09/1,464.32 = 589.00/x
3. Step 3: Cross multiply
   1,061.09x = 1,464.32 × 589.00
4. Step 4: Simplify right side
   1,061.09x = 862,474.21
5. Step 5: Solve for x
   x = 862,474.21/1,061.09
6. Step 6: Final answer
   x = 812.82