Finding the Fourth Proportional to 3,677.63, 5,075.15 and 2,105.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.63 : 5,075.15 = 2,105.82 : x
2. Step 2: Convert to fraction form
   3,677.63/5,075.15 = 2,105.82/x
3. Step 3: Cross multiply
   3,677.63x = 5,075.15 × 2,105.82
4. Step 4: Simplify right side
   3,677.63x = 10,687,341.84
5. Step 5: Solve for x
   x = 10,687,341.84/3,677.63
6. Step 6: Final answer
   x = 2,906.04