Finding the Fourth Proportional to 1,031.31, 1,423.17 and 589.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.31 : 1,423.17 = 589.12 : x
2. Step 2: Convert to fraction form
   1,031.31/1,423.17 = 589.12/x
3. Step 3: Cross multiply
   1,031.31x = 1,423.17 × 589.12
4. Step 4: Simplify right side
   1,031.31x = 838,417.91
5. Step 5: Solve for x
   x = 838,417.91/1,031.31
6. Step 6: Final answer
   x = 812.96