Finding the Fourth Proportional to 3,678.59, 5,074.69 and 2,105.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.59 : 5,074.69 = 2,105.75 : x
2. Step 2: Convert to fraction form
   3,678.59/5,074.69 = 2,105.75/x
3. Step 3: Cross multiply
   3,678.59x = 5,074.69 × 2,105.75
4. Step 4: Simplify right side
   3,678.59x = 10,686,028.47
5. Step 5: Solve for x
   x = 10,686,028.47/3,678.59
6. Step 6: Final answer
   x = 2,904.93