Finding the Fourth Proportional to 3,677.81, 5,075.48 and 2,106.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.81 : 5,075.48 = 2,106.41 : x
2. Step 2: Convert to fraction form
   3,677.81/5,075.48 = 2,106.41/x
3. Step 3: Cross multiply
   3,677.81x = 5,075.48 × 2,106.41
4. Step 4: Simplify right side
   3,677.81x = 10,691,041.83
5. Step 5: Solve for x
   x = 10,691,041.83/3,677.81
6. Step 6: Final answer
   x = 2,906.90