Finding the Fourth Proportional to 1,031.63, 1,423.61 and 589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.63 : 1,423.61 = 589.50 : x
2. Step 2: Convert to fraction form
   1,031.63/1,423.61 = 589.50/x
3. Step 3: Cross multiply
   1,031.63x = 1,423.61 × 589.50
4. Step 4: Simplify right side
   1,031.63x = 839,215.15
5. Step 5: Solve for x
   x = 839,215.15/1,031.63
6. Step 6: Final answer
   x = 813.49