Finding the Fourth Proportional to 3,678.96, 5,075.22 and 2,106.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.96 : 5,075.22 = 2,106.14 : x
2. Step 2: Convert to fraction form
   3,678.96/5,075.22 = 2,106.14/x
3. Step 3: Cross multiply
   3,678.96x = 5,075.22 × 2,106.14
4. Step 4: Simplify right side
   3,678.96x = 10,689,123.85
5. Step 5: Solve for x
   x = 10,689,123.85/3,678.96
6. Step 6: Final answer
   x = 2,905.47