Finding the Fourth Proportional to 2,565.75, 3,847.08 and 1,003.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.75 : 3,847.08 = 1,003.89 : x
2. Step 2: Convert to fraction form
   2,565.75/3,847.08 = 1,003.89/x
3. Step 3: Cross multiply
   2,565.75x = 3,847.08 × 1,003.89
4. Step 4: Simplify right side
   2,565.75x = 3,862,020.89
5. Step 5: Solve for x
   x = 3,862,020.89/2,565.75
6. Step 6: Final answer
   x = 1,505.22