Finding the Fourth Proportional to 1,031.60, 1,423.61 and 589.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.60 : 1,423.61 = 589.59 : x
2. Step 2: Convert to fraction form
   1,031.60/1,423.61 = 589.59/x
3. Step 3: Cross multiply
   1,031.60x = 1,423.61 × 589.59
4. Step 4: Simplify right side
   1,031.60x = 839,347.69
5. Step 5: Solve for x
   x = 839,347.69/1,031.60
6. Step 6: Final answer
   x = 813.63