Finding the Fourth Proportional to 2,002.82, 3,003.98 and 832.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.82 : 3,003.98 = 832.10 : x
2. Step 2: Convert to fraction form
   2,002.82/3,003.98 = 832.10/x
3. Step 3: Cross multiply
   2,002.82x = 3,003.98 × 832.10
4. Step 4: Simplify right side
   2,002.82x = 2,499,592.58
5. Step 5: Solve for x
   x = 2,499,592.58/2,002.82
6. Step 6: Final answer
   x = 1,248.04