Finding the Fourth Proportional to 3,758.78, 5,186.78 and 2,080.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758.78 : 5,186.78 = 2,080.16 : x
2. Step 2: Convert to fraction form
   3,758.78/5,186.78 = 2,080.16/x
3. Step 3: Cross multiply
   3,758.78x = 5,186.78 × 2,080.16
4. Step 4: Simplify right side
   3,758.78x = 10,789,332.28
5. Step 5: Solve for x
   x = 10,789,332.28/3,758.78
6. Step 6: Final answer
   x = 2,870.43