Finding the Fourth Proportional to 3,677.76, 5,075.91 and 2,105.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.76 : 5,075.91 = 2,105.82 : x
2. Step 2: Convert to fraction form
   3,677.76/5,075.91 = 2,105.82/x
3. Step 3: Cross multiply
   3,677.76x = 5,075.91 × 2,105.82
4. Step 4: Simplify right side
   3,677.76x = 10,688,952.80
5. Step 5: Solve for x
   x = 10,688,952.80/3,677.76
6. Step 6: Final answer
   x = 2,906.38