Finding the Fourth Proportional to 2,562.34, 3,843.58 and 1,002.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.34 : 3,843.58 = 1,002.28 : x
2. Step 2: Convert to fraction form
   2,562.34/3,843.58 = 1,002.28/x
3. Step 3: Cross multiply
   2,562.34x = 3,843.58 × 1,002.28
4. Step 4: Simplify right side
   2,562.34x = 3,852,331.25
5. Step 5: Solve for x
   x = 3,852,331.25/2,562.34
6. Step 6: Final answer
   x = 1,503.44