Finding the Fourth Proportional to 2,780.82, 3,826.17 and 2,406.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780.82 : 3,826.17 = 2,406.60 : x
2. Step 2: Convert to fraction form
   2,780.82/3,826.17 = 2,406.60/x
3. Step 3: Cross multiply
   2,780.82x = 3,826.17 × 2,406.60
4. Step 4: Simplify right side
   2,780.82x = 9,208,060.72
5. Step 5: Solve for x
   x = 9,208,060.72/2,780.82
6. Step 6: Final answer
   x = 3,311.28