Finding the Fourth Proportional to 2,561.97, 3,843.72 and 1,002.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.97 : 3,843.72 = 1,002.27 : x
2. Step 2: Convert to fraction form
   2,561.97/3,843.72 = 1,002.27/x
3. Step 3: Cross multiply
   2,561.97x = 3,843.72 × 1,002.27
4. Step 4: Simplify right side
   2,561.97x = 3,852,445.24
5. Step 5: Solve for x
   x = 3,852,445.24/2,561.97
6. Step 6: Final answer
   x = 1,503.70