Finding the Fourth Proportional to 1,031.01, 1,422.84 and 589.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.01 : 1,422.84 = 589.05 : x
2. Step 2: Convert to fraction form
   1,031.01/1,422.84 = 589.05/x
3. Step 3: Cross multiply
   1,031.01x = 1,422.84 × 589.05
4. Step 4: Simplify right side
   1,031.01x = 838,123.90
5. Step 5: Solve for x
   x = 838,123.90/1,031.01
6. Step 6: Final answer
   x = 812.92