Finding the Fourth Proportional to 3,677.67, 5,074.02 and 2,105.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.67 : 5,074.02 = 2,105.46 : x
2. Step 2: Convert to fraction form
   3,677.67/5,074.02 = 2,105.46/x
3. Step 3: Cross multiply
   3,677.67x = 5,074.02 × 2,105.46
4. Step 4: Simplify right side
   3,677.67x = 10,683,146.15
5. Step 5: Solve for x
   x = 10,683,146.15/3,677.67
6. Step 6: Final answer
   x = 2,904.87