Finding the Fourth Proportional to 1,009.27, 1,392.55 and 589.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.27 : 1,392.55 = 589.56 : x
2. Step 2: Convert to fraction form
   1,009.27/1,392.55 = 589.56/x
3. Step 3: Cross multiply
   1,009.27x = 1,392.55 × 589.56
4. Step 4: Simplify right side
   1,009.27x = 820,991.78
5. Step 5: Solve for x
   x = 820,991.78/1,009.27
6. Step 6: Final answer
   x = 813.45