Finding the Fourth Proportional to 3,105.84, 4,282.56 and 2,265.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,105.84 : 4,282.56 = 2,265.06 : x
2. Step 2: Convert to fraction form
   3,105.84/4,282.56 = 2,265.06/x
3. Step 3: Cross multiply
   3,105.84x = 4,282.56 × 2,265.06
4. Step 4: Simplify right side
   3,105.84x = 9,700,255.35
5. Step 5: Solve for x
   x = 9,700,255.35/3,105.84
6. Step 6: Final answer
   x = 3,123.23