Finding the Fourth Proportional to 2,565.12, 3,843.48 and 1,003.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.12 : 3,843.48 = 1,003.35 : x
2. Step 2: Convert to fraction form
   2,565.12/3,843.48 = 1,003.35/x
3. Step 3: Cross multiply
   2,565.12x = 3,843.48 × 1,003.35
4. Step 4: Simplify right side
   2,565.12x = 3,856,355.66
5. Step 5: Solve for x
   x = 3,856,355.66/2,565.12
6. Step 6: Final answer
   x = 1,503.38