Finding the Fourth Proportional to 3,870.14, 5,335.50 and 2,658.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870.14 : 5,335.50 = 2,658.78 : x
2. Step 2: Convert to fraction form
   3,870.14/5,335.50 = 2,658.78/x
3. Step 3: Cross multiply
   3,870.14x = 5,335.50 × 2,658.78
4. Step 4: Simplify right side
   3,870.14x = 14,185,920.69
5. Step 5: Solve for x
   x = 14,185,920.69/3,870.14
6. Step 6: Final answer
   x = 3,665.48