Finding the Fourth Proportional to 1,031.84, 1,423.98 and 589.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.84 : 1,423.98 = 589.78 : x
2. Step 2: Convert to fraction form
   1,031.84/1,423.98 = 589.78/x
3. Step 3: Cross multiply
   1,031.84x = 1,423.98 × 589.78
4. Step 4: Simplify right side
   1,031.84x = 839,834.92
5. Step 5: Solve for x
   x = 839,834.92/1,031.84
6. Step 6: Final answer
   x = 813.92