Finding the Fourth Proportional to 1,009.43, 1,393.25 and 589.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.43 : 1,393.25 = 589.99 : x
2. Step 2: Convert to fraction form
   1,009.43/1,393.25 = 589.99/x
3. Step 3: Cross multiply
   1,009.43x = 1,393.25 × 589.99
4. Step 4: Simplify right side
   1,009.43x = 822,003.57
5. Step 5: Solve for x
   x = 822,003.57/1,009.43
6. Step 6: Final answer
   x = 814.32