Finding the Fourth Proportional to 5,540.61, 7,648.86 and 4,278.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,540.61 : 7,648.86 = 4,278.83 : x
2. Step 2: Convert to fraction form
   5,540.61/7,648.86 = 4,278.83/x
3. Step 3: Cross multiply
   5,540.61x = 7,648.86 × 4,278.83
4. Step 4: Simplify right side
   5,540.61x = 32,728,178.12
5. Step 5: Solve for x
   x = 32,728,178.12/5,540.61
6. Step 6: Final answer
   x = 5,906.97