Finding the Fourth Proportional to 2,780.10, 4,166.55 and 2,456.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780.10 : 4,166.55 = 2,456.10 : x
2. Step 2: Convert to fraction form
   2,780.10/4,166.55 = 2,456.10/x
3. Step 3: Cross multiply
   2,780.10x = 4,166.55 × 2,456.10
4. Step 4: Simplify right side
   2,780.10x = 10,233,463.46
5. Step 5: Solve for x
   x = 10,233,463.46/2,780.10
6. Step 6: Final answer
   x = 3,680.97