Finding the Fourth Proportional to 1,061.40, 1,464.69 and 589.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.40 : 1,464.69 = 589.32 : x
2. Step 2: Convert to fraction form
   1,061.40/1,464.69 = 589.32/x
3. Step 3: Cross multiply
   1,061.40x = 1,464.69 × 589.32
4. Step 4: Simplify right side
   1,061.40x = 863,171.11
5. Step 5: Solve for x
   x = 863,171.11/1,061.40
6. Step 6: Final answer
   x = 813.24