Finding the Fourth Proportional to 2,002.40, 3,001.86 and 961.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.40 : 3,001.86 = 961.88 : x
2. Step 2: Convert to fraction form
   2,002.40/3,001.86 = 961.88/x
3. Step 3: Cross multiply
   2,002.40x = 3,001.86 × 961.88
4. Step 4: Simplify right side
   2,002.40x = 2,887,429.10
5. Step 5: Solve for x
   x = 2,887,429.10/2,002.40
6. Step 6: Final answer
   x = 1,441.98