Finding the Fourth Proportional to 2,562.82, 3,844.56 and 1,002.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.82 : 3,844.56 = 1,002.62 : x
2. Step 2: Convert to fraction form
   2,562.82/3,844.56 = 1,002.62/x
3. Step 3: Cross multiply
   2,562.82x = 3,844.56 × 1,002.62
4. Step 4: Simplify right side
   2,562.82x = 3,854,650.29
5. Step 5: Solve for x
   x = 3,854,650.29/2,562.82
6. Step 6: Final answer
   x = 1,504.06