Finding the Fourth Proportional to 2,563.61, 3,843.18 and 1,004.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.61 : 3,843.18 = 1,004.90 : x
2. Step 2: Convert to fraction form
   2,563.61/3,843.18 = 1,004.90/x
3. Step 3: Cross multiply
   2,563.61x = 3,843.18 × 1,004.90
4. Step 4: Simplify right side
   2,563.61x = 3,861,992.37
5. Step 5: Solve for x
   x = 3,861,992.37/2,563.61
6. Step 6: Final answer
   x = 1,506.47