Finding the Fourth Proportional to 2,002.01, 3,001.88 and 831.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.01 : 3,001.88 = 831.65 : x
2. Step 2: Convert to fraction form
   2,002.01/3,001.88 = 831.65/x
3. Step 3: Cross multiply
   2,002.01x = 3,001.88 × 831.65
4. Step 4: Simplify right side
   2,002.01x = 2,496,494.33
5. Step 5: Solve for x
   x = 2,496,494.33/2,002.01
6. Step 6: Final answer
   x = 1,247.00