Finding the Fourth Proportional to 3,677.80, 5,075.34 and 2,105.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.80 : 5,075.34 = 2,105.89 : x
2. Step 2: Convert to fraction form
   3,677.80/5,075.34 = 2,105.89/x
3. Step 3: Cross multiply
   3,677.80x = 5,075.34 × 2,105.89
4. Step 4: Simplify right side
   3,677.80x = 10,688,106.20
5. Step 5: Solve for x
   x = 10,688,106.20/3,677.80
6. Step 6: Final answer
   x = 2,906.12