Finding the Fourth Proportional to 2,002.82, 3,005.31 and 833.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.82 : 3,005.31 = 833.63 : x
2. Step 2: Convert to fraction form
   2,002.82/3,005.31 = 833.63/x
3. Step 3: Cross multiply
   2,002.82x = 3,005.31 × 833.63
4. Step 4: Simplify right side
   2,002.82x = 2,505,306.09
5. Step 5: Solve for x
   x = 2,505,306.09/2,002.82
6. Step 6: Final answer
   x = 1,250.89