Finding the Fourth Proportional to 3,757.34, 5,185.10 and 2,078.87

Step by Step Solution

1. Step 1: Write the proportion equation
   3,757.34 : 5,185.10 = 2,078.87 : x
2. Step 2: Convert to fraction form
   3,757.34/5,185.10 = 2,078.87/x
3. Step 3: Cross multiply
   3,757.34x = 5,185.10 × 2,078.87
4. Step 4: Simplify right side
   3,757.34x = 10,779,112.52
5. Step 5: Solve for x
   x = 10,779,112.52/3,757.34
6. Step 6: Final answer
   x = 2,868.82