Finding the Fourth Proportional to 3,786.89, 5,683.10 and 2,146.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,786.89 : 5,683.10 = 2,146.64 : x
2. Step 2: Convert to fraction form
   3,786.89/5,683.10 = 2,146.64/x
3. Step 3: Cross multiply
   3,786.89x = 5,683.10 × 2,146.64
4. Step 4: Simplify right side
   3,786.89x = 12,199,530.64
5. Step 5: Solve for x
   x = 12,199,530.64/3,786.89
6. Step 6: Final answer
   x = 3,221.52