Finding the Fourth Proportional to 3,196.10, 4,781.46 and 2,540

Step by Step Solution

1. Step 1: Write the proportion equation
   3,196.10 : 4,781.46 = 2,540 : x
2. Step 2: Convert to fraction form
   3,196.10/4,781.46 = 2,540/x
3. Step 3: Cross multiply
   3,196.10x = 4,781.46 × 2,540
4. Step 4: Simplify right side
   3,196.10x = 12,144,908.40
5. Step 5: Solve for x
   x = 12,144,908.40/3,196.10
6. Step 6: Final answer
   x = 3,799.92