Finding the Fourth Proportional to 2,878.12, 3,965.92 and 2,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,878.12 : 3,965.92 = 2,665.50 : x
2. Step 2: Convert to fraction form
   2,878.12/3,965.92 = 2,665.50/x
3. Step 3: Cross multiply
   2,878.12x = 3,965.92 × 2,665.50
4. Step 4: Simplify right side
   2,878.12x = 10,571,159.76
5. Step 5: Solve for x
   x = 10,571,159.76/2,878.12
6. Step 6: Final answer
   x = 3,672.94