Finding the Fourth Proportional to 3,758.25, 5,185.74 and 2,414.15

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758.25 : 5,185.74 = 2,414.15 : x
2. Step 2: Convert to fraction form
   3,758.25/5,185.74 = 2,414.15/x
3. Step 3: Cross multiply
   3,758.25x = 5,185.74 × 2,414.15
4. Step 4: Simplify right side
   3,758.25x = 12,519,172.38
5. Step 5: Solve for x
   x = 12,519,172.38/3,758.25
6. Step 6: Final answer
   x = 3,331.12