Finding the Fourth Proportional to 1,031.89, 1,423.96 and 589.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.89 : 1,423.96 = 589.76 : x
2. Step 2: Convert to fraction form
   1,031.89/1,423.96 = 589.76/x
3. Step 3: Cross multiply
   1,031.89x = 1,423.96 × 589.76
4. Step 4: Simplify right side
   1,031.89x = 839,796.74
5. Step 5: Solve for x
   x = 839,796.74/1,031.89
6. Step 6: Final answer
   x = 813.85