Finding the Fourth Proportional to 2,462.40, 3,677.91 and 2,116.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.40 : 3,677.91 = 2,116.73 : x
2. Step 2: Convert to fraction form
   2,462.40/3,677.91 = 2,116.73/x
3. Step 3: Cross multiply
   2,462.40x = 3,677.91 × 2,116.73
4. Step 4: Simplify right side
   2,462.40x = 7,785,143.69
5. Step 5: Solve for x
   x = 7,785,143.69/2,462.40
6. Step 6: Final answer
   x = 3,161.61