Finding the Fourth Proportional to 1,031.90, 1,424.04 and 589.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.90 : 1,424.04 = 589.82 : x
2. Step 2: Convert to fraction form
   1,031.90/1,424.04 = 589.82/x
3. Step 3: Cross multiply
   1,031.90x = 1,424.04 × 589.82
4. Step 4: Simplify right side
   1,031.90x = 839,927.27
5. Step 5: Solve for x
   x = 839,927.27/1,031.90
6. Step 6: Final answer
   x = 813.96