Finding the Fourth Proportional to 3,677.62, 5,075.31 and 2,105.95

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.62 : 5,075.31 = 2,105.95 : x
2. Step 2: Convert to fraction form
   3,677.62/5,075.31 = 2,105.95/x
3. Step 3: Cross multiply
   3,677.62x = 5,075.31 × 2,105.95
4. Step 4: Simplify right side
   3,677.62x = 10,688,349.09
5. Step 5: Solve for x
   x = 10,688,349.09/3,677.62
6. Step 6: Final answer
   x = 2,906.32