Finding the Fourth Proportional to 3,677.19, 5,074.74 and 2,105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.19 : 5,074.74 = 2,105.25 : x
2. Step 2: Convert to fraction form
   3,677.19/5,074.74 = 2,105.25/x
3. Step 3: Cross multiply
   3,677.19x = 5,074.74 × 2,105.25
4. Step 4: Simplify right side
   3,677.19x = 10,683,596.39
5. Step 5: Solve for x
   x = 10,683,596.39/3,677.19
6. Step 6: Final answer
   x = 2,905.37