Finding the Fourth Proportional to 3,757.60, 5,185.39 and 2,078.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,757.60 : 5,185.39 = 2,078.96 : x
2. Step 2: Convert to fraction form
   3,757.60/5,185.39 = 2,078.96/x
3. Step 3: Cross multiply
   3,757.60x = 5,185.39 × 2,078.96
4. Step 4: Simplify right side
   3,757.60x = 10,780,218.39
5. Step 5: Solve for x
   x = 10,780,218.39/3,757.60
6. Step 6: Final answer
   x = 2,868.91