Finding the Fourth Proportional to 2,002.01, 3,002.24 and 961.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.01 : 3,002.24 = 961.71 : x
2. Step 2: Convert to fraction form
   2,002.01/3,002.24 = 961.71/x
3. Step 3: Cross multiply
   2,002.01x = 3,002.24 × 961.71
4. Step 4: Simplify right side
   2,002.01x = 2,887,279.42
5. Step 5: Solve for x
   x = 2,887,279.42/2,002.01
6. Step 6: Final answer
   x = 1,442.19