Finding the Fourth Proportional to 1,008.58, 1,392.12 and 589.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.58 : 1,392.12 = 589.02 : x
2. Step 2: Convert to fraction form
   1,008.58/1,392.12 = 589.02/x
3. Step 3: Cross multiply
   1,008.58x = 1,392.12 × 589.02
4. Step 4: Simplify right side
   1,008.58x = 819,986.52
5. Step 5: Solve for x
   x = 819,986.52/1,008.58
6. Step 6: Final answer
   x = 813.01