Finding the Fourth Proportional to 3,677.92, 5,075.38 and 2,105.98

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.92 : 5,075.38 = 2,105.98 : x
2. Step 2: Convert to fraction form
   3,677.92/5,075.38 = 2,105.98/x
3. Step 3: Cross multiply
   3,677.92x = 5,075.38 × 2,105.98
4. Step 4: Simplify right side
   3,677.92x = 10,688,648.77
5. Step 5: Solve for x
   x = 10,688,648.77/3,677.92
6. Step 6: Final answer
   x = 2,906.17