Finding the Fourth Proportional to 4,648.61, 6,414.06 and 2,760.82

Step by Step Solution

1. Step 1: Write the proportion equation
   4,648.61 : 6,414.06 = 2,760.82 : x
2. Step 2: Convert to fraction form
   4,648.61/6,414.06 = 2,760.82/x
3. Step 3: Cross multiply
   4,648.61x = 6,414.06 × 2,760.82
4. Step 4: Simplify right side
   4,648.61x = 17,708,059.45
5. Step 5: Solve for x
   x = 17,708,059.45/4,648.61
6. Step 6: Final answer
   x = 3,809.32