Finding the Fourth Proportional to 1,008.86, 1,392.22 and 589.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.86 : 1,392.22 = 589.20 : x
2. Step 2: Convert to fraction form
   1,008.86/1,392.22 = 589.20/x
3. Step 3: Cross multiply
   1,008.86x = 1,392.22 × 589.20
4. Step 4: Simplify right side
   1,008.86x = 820,296.02
5. Step 5: Solve for x
   x = 820,296.02/1,008.86
6. Step 6: Final answer
   x = 813.09