Finding the Fourth Proportional to 3,677.80, 5,075.39 and 2,105.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.80 : 5,075.39 = 2,105.86 : x
2. Step 2: Convert to fraction form
   3,677.80/5,075.39 = 2,105.86/x
3. Step 3: Cross multiply
   3,677.80x = 5,075.39 × 2,105.86
4. Step 4: Simplify right side
   3,677.80x = 10,688,060.79
5. Step 5: Solve for x
   x = 10,688,060.79/3,677.80
6. Step 6: Final answer
   x = 2,906.10