Finding the Fourth Proportional to 3,870.78, 5,336.38 and 2,659.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870.78 : 5,336.38 = 2,659.42 : x
2. Step 2: Convert to fraction form
   3,870.78/5,336.38 = 2,659.42/x
3. Step 3: Cross multiply
   3,870.78x = 5,336.38 × 2,659.42
4. Step 4: Simplify right side
   3,870.78x = 14,191,685.69
5. Step 5: Solve for x
   x = 14,191,685.69/3,870.78
6. Step 6: Final answer
   x = 3,666.37