Finding the Fourth Proportional to 3,105.82, 4,286.64 and 1,780.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,105.82 : 4,286.64 = 1,780.41 : x
2. Step 2: Convert to fraction form
   3,105.82/4,286.64 = 1,780.41/x
3. Step 3: Cross multiply
   3,105.82x = 4,286.64 × 1,780.41
4. Step 4: Simplify right side
   3,105.82x = 7,631,976.72
5. Step 5: Solve for x
   x = 7,631,976.72/3,105.82
6. Step 6: Final answer
   x = 2,457.31