Finding the Fourth Proportional to 2,736.48, 3,778.14 and 2,105.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,736.48 : 3,778.14 = 2,105.85 : x
2. Step 2: Convert to fraction form
   2,736.48/3,778.14 = 2,105.85/x
3. Step 3: Cross multiply
   2,736.48x = 3,778.14 × 2,105.85
4. Step 4: Simplify right side
   2,736.48x = 7,956,196.12
5. Step 5: Solve for x
   x = 7,956,196.12/2,736.48
6. Step 6: Final answer
   x = 2,907.46