Finding the Fourth Proportional to 3,677.41, 5,075.22 and 2,105.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.41 : 5,075.22 = 2,105.47 : x
2. Step 2: Convert to fraction form
   3,677.41/5,075.22 = 2,105.47/x
3. Step 3: Cross multiply
   3,677.41x = 5,075.22 × 2,105.47
4. Step 4: Simplify right side
   3,677.41x = 10,685,723.45
5. Step 5: Solve for x
   x = 10,685,723.45/3,677.41
6. Step 6: Final answer
   x = 2,905.77