Finding the Fourth Proportional to 3,105.82, 4,654.60 and 2,280.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,105.82 : 4,654.60 = 2,280.22 : x
2. Step 2: Convert to fraction form
   3,105.82/4,654.60 = 2,280.22/x
3. Step 3: Cross multiply
   3,105.82x = 4,654.60 × 2,280.22
4. Step 4: Simplify right side
   3,105.82x = 10,613,512.01
5. Step 5: Solve for x
   x = 10,613,512.01/3,105.82
6. Step 6: Final answer
   x = 3,417.30