Finding the Fourth Proportional to 1,031.49, 1,423.71 and 589.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.49 : 1,423.71 = 589.39 : x
2. Step 2: Convert to fraction form
   1,031.49/1,423.71 = 589.39/x
3. Step 3: Cross multiply
   1,031.49x = 1,423.71 × 589.39
4. Step 4: Simplify right side
   1,031.49x = 839,116.88
5. Step 5: Solve for x
   x = 839,116.88/1,031.49
6. Step 6: Final answer
   x = 813.50