Finding the Fourth Proportional to 2,002.30, 3,002.16 and 833.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.30 : 3,002.16 = 833.11 : x
2. Step 2: Convert to fraction form
   2,002.30/3,002.16 = 833.11/x
3. Step 3: Cross multiply
   2,002.30x = 3,002.16 × 833.11
4. Step 4: Simplify right side
   2,002.30x = 2,501,118.89
5. Step 5: Solve for x
   x = 2,501,118.89/2,002.30
6. Step 6: Final answer
   x = 1,249.12