Finding the Fourth Proportional to 1,031.46, 1,423.32 and 589.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.46 : 1,423.32 = 589.27 : x
2. Step 2: Convert to fraction form
   1,031.46/1,423.32 = 589.27/x
3. Step 3: Cross multiply
   1,031.46x = 1,423.32 × 589.27
4. Step 4: Simplify right side
   1,031.46x = 838,719.78
5. Step 5: Solve for x
   x = 838,719.78/1,031.46
6. Step 6: Final answer
   x = 813.14