Finding the Fourth Proportional to 3,677.84, 5,075.42 and 2,105.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.84 : 5,075.42 = 2,105.94 : x
2. Step 2: Convert to fraction form
   3,677.84/5,075.42 = 2,105.94/x
3. Step 3: Cross multiply
   3,677.84x = 5,075.42 × 2,105.94
4. Step 4: Simplify right side
   3,677.84x = 10,688,519.47
5. Step 5: Solve for x
   x = 10,688,519.47/3,677.84
6. Step 6: Final answer
   x = 2,906.20