Finding the Fourth Proportional to 2,563.74, 3,843.34 and 1,003.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.74 : 3,843.34 = 1,003.39 : x
2. Step 2: Convert to fraction form
   2,563.74/3,843.34 = 1,003.39/x
3. Step 3: Cross multiply
   2,563.74x = 3,843.34 × 1,003.39
4. Step 4: Simplify right side
   2,563.74x = 3,856,356.81
5. Step 5: Solve for x
   x = 3,856,356.81/2,563.74
6. Step 6: Final answer
   x = 1,504.19