Finding the Fourth Proportional to 1,009.06, 1,392.56 and 589.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.06 : 1,392.56 = 589.42 : x
2. Step 2: Convert to fraction form
   1,009.06/1,392.56 = 589.42/x
3. Step 3: Cross multiply
   1,009.06x = 1,392.56 × 589.42
4. Step 4: Simplify right side
   1,009.06x = 820,802.72
5. Step 5: Solve for x
   x = 820,802.72/1,009.06
6. Step 6: Final answer
   x = 813.43