Finding the Fourth Proportional to 1,009.28, 1,392.69 and 589.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.28 : 1,392.69 = 589.49 : x
2. Step 2: Convert to fraction form
   1,009.28/1,392.69 = 589.49/x
3. Step 3: Cross multiply
   1,009.28x = 1,392.69 × 589.49
4. Step 4: Simplify right side
   1,009.28x = 820,976.83
5. Step 5: Solve for x
   x = 820,976.83/1,009.28
6. Step 6: Final answer
   x = 813.43