Finding the Fourth Proportional to 2,562.21, 3,843.39 and 1,002.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.21 : 3,843.39 = 1,002.15 : x
2. Step 2: Convert to fraction form
   2,562.21/3,843.39 = 1,002.15/x
3. Step 3: Cross multiply
   2,562.21x = 3,843.39 × 1,002.15
4. Step 4: Simplify right side
   2,562.21x = 3,851,653.29
5. Step 5: Solve for x
   x = 3,851,653.29/2,562.21
6. Step 6: Final answer
   x = 1,503.25