Finding the Fourth Proportional to 1,008.50, 1,391.91 and 589.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.50 : 1,391.91 = 589.10 : x
2. Step 2: Convert to fraction form
   1,008.50/1,391.91 = 589.10/x
3. Step 3: Cross multiply
   1,008.50x = 1,391.91 × 589.10
4. Step 4: Simplify right side
   1,008.50x = 819,967.22
5. Step 5: Solve for x
   x = 819,967.22/1,008.50
6. Step 6: Final answer
   x = 813.06