Finding the Fourth Proportional to 3,677.75, 5,074.71 and 2,185.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.75 : 5,074.71 = 2,185.62 : x
2. Step 2: Convert to fraction form
   3,677.75/5,074.71 = 2,185.62/x
3. Step 3: Cross multiply
   3,677.75x = 5,074.71 × 2,185.62
4. Step 4: Simplify right side
   3,677.75x = 11,091,387.67
5. Step 5: Solve for x
   x = 11,091,387.67/3,677.75
6. Step 6: Final answer
   x = 3,015.81