Finding the Fourth Proportional to 1,031.61, 1,423.53 and 589.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.61 : 1,423.53 = 589.62 : x
2. Step 2: Convert to fraction form
   1,031.61/1,423.53 = 589.62/x
3. Step 3: Cross multiply
   1,031.61x = 1,423.53 × 589.62
4. Step 4: Simplify right side
   1,031.61x = 839,341.76
5. Step 5: Solve for x
   x = 839,341.76/1,031.61
6. Step 6: Final answer
   x = 813.62