Finding the Fourth Proportional to 3,677.49, 5,075.33 and 2,106.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.49 : 5,075.33 = 2,106.09 : x
2. Step 2: Convert to fraction form
   3,677.49/5,075.33 = 2,106.09/x
3. Step 3: Cross multiply
   3,677.49x = 5,075.33 × 2,106.09
4. Step 4: Simplify right side
   3,677.49x = 10,689,091.23
5. Step 5: Solve for x
   x = 10,689,091.23/3,677.49
6. Step 6: Final answer
   x = 2,906.63