Finding the Fourth Proportional to 1,031.05, 1,422.79 and 589.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.05 : 1,422.79 = 589.10 : x
2. Step 2: Convert to fraction form
   1,031.05/1,422.79 = 589.10/x
3. Step 3: Cross multiply
   1,031.05x = 1,422.79 × 589.10
4. Step 4: Simplify right side
   1,031.05x = 838,165.59
5. Step 5: Solve for x
   x = 838,165.59/1,031.05
6. Step 6: Final answer
   x = 812.92