Finding the Fourth Proportional to 1,031.42, 1,423.31 and 589.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.42 : 1,423.31 = 589.37 : x
2. Step 2: Convert to fraction form
   1,031.42/1,423.31 = 589.37/x
3. Step 3: Cross multiply
   1,031.42x = 1,423.31 × 589.37
4. Step 4: Simplify right side
   1,031.42x = 838,846.15
5. Step 5: Solve for x
   x = 838,846.15/1,031.42
6. Step 6: Final answer
   x = 813.29