Finding the Fourth Proportional to 2,661.50, 3,974.68 and 2,519.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,661.50 : 3,974.68 = 2,519.48 : x
2. Step 2: Convert to fraction form
   2,661.50/3,974.68 = 2,519.48/x
3. Step 3: Cross multiply
   2,661.50x = 3,974.68 × 2,519.48
4. Step 4: Simplify right side
   2,661.50x = 10,014,126.77
5. Step 5: Solve for x
   x = 10,014,126.77/2,661.50
6. Step 6: Final answer
   x = 3,762.59