Finding the Fourth Proportional to 2,654.98, 3,983.55 and 2,584.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,654.98 : 3,983.55 = 2,584.42 : x
2. Step 2: Convert to fraction form
   2,654.98/3,983.55 = 2,584.42/x
3. Step 3: Cross multiply
   2,654.98x = 3,983.55 × 2,584.42
4. Step 4: Simplify right side
   2,654.98x = 10,295,166.29
5. Step 5: Solve for x
   x = 10,295,166.29/2,654.98
6. Step 6: Final answer
   x = 3,877.68