Finding the Fourth Proportional to 3,758.82, 5,185.94 and 2,186.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758.82 : 5,185.94 = 2,186.61 : x
2. Step 2: Convert to fraction form
   3,758.82/5,185.94 = 2,186.61/x
3. Step 3: Cross multiply
   3,758.82x = 5,185.94 × 2,186.61
4. Step 4: Simplify right side
   3,758.82x = 11,339,617.33
5. Step 5: Solve for x
   x = 11,339,617.33/3,758.82
6. Step 6: Final answer
   x = 3,016.80