Finding the Fourth Proportional to 2,760.50, 3,816.70 and 2,638.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,760.50 : 3,816.70 = 2,638.10 : x
2. Step 2: Convert to fraction form
   2,760.50/3,816.70 = 2,638.10/x
3. Step 3: Cross multiply
   2,760.50x = 3,816.70 × 2,638.10
4. Step 4: Simplify right side
   2,760.50x = 10,068,836.27
5. Step 5: Solve for x
   x = 10,068,836.27/2,760.50
6. Step 6: Final answer
   x = 3,647.47