Finding the Fourth Proportional to 3,757.59, 5,185.05 and 2,078.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,757.59 : 5,185.05 = 2,078.77 : x
2. Step 2: Convert to fraction form
   3,757.59/5,185.05 = 2,078.77/x
3. Step 3: Cross multiply
   3,757.59x = 5,185.05 × 2,078.77
4. Step 4: Simplify right side
   3,757.59x = 10,778,513.43
5. Step 5: Solve for x
   x = 10,778,513.43/3,757.59
6. Step 6: Final answer
   x = 2,868.46