Finding the Fourth Proportional to 3,678.92, 5,075.76 and 2,106.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.92 : 5,075.76 = 2,106.72 : x
2. Step 2: Convert to fraction form
   3,678.92/5,075.76 = 2,106.72/x
3. Step 3: Cross multiply
   3,678.92x = 5,075.76 × 2,106.72
4. Step 4: Simplify right side
   3,678.92x = 10,693,205.11
5. Step 5: Solve for x
   x = 10,693,205.11/3,678.92
6. Step 6: Final answer
   x = 2,906.62