Finding the Fourth Proportional to 2,563.84, 3,845.60 and 1,003.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.84 : 3,845.60 = 1,003.55 : x
2. Step 2: Convert to fraction form
   2,563.84/3,845.60 = 1,003.55/x
3. Step 3: Cross multiply
   2,563.84x = 3,845.60 × 1,003.55
4. Step 4: Simplify right side
   2,563.84x = 3,859,246.86
5. Step 5: Solve for x
   x = 3,859,246.86/2,563.84
6. Step 6: Final answer
   x = 1,505.26