Finding the Fourth Proportional to 2,540.92, 3,813.54 and 1,003

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.92 : 3,813.54 = 1,003 : x
2. Step 2: Convert to fraction form
   2,540.92/3,813.54 = 1,003/x
3. Step 3: Cross multiply
   2,540.92x = 3,813.54 × 1,003
4. Step 4: Simplify right side
   2,540.92x = 3,824,980.62
5. Step 5: Solve for x
   x = 3,824,980.62/2,540.92
6. Step 6: Final answer
   x = 1,505.35