Finding the Fourth Proportional to 3,678.17, 5,075.75 and 2,105.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.17 : 5,075.75 = 2,105.96 : x
2. Step 2: Convert to fraction form
   3,678.17/5,075.75 = 2,105.96/x
3. Step 3: Cross multiply
   3,678.17x = 5,075.75 × 2,105.96
4. Step 4: Simplify right side
   3,678.17x = 10,689,308.52
5. Step 5: Solve for x
   x = 10,689,308.52/3,678.17
6. Step 6: Final answer
   x = 2,906.15