Finding the Fourth Proportional to 5,540.50, 7,645.89 and 3,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,540.50 : 7,645.89 = 3,056.50 : x
2. Step 2: Convert to fraction form
   5,540.50/7,645.89 = 3,056.50/x
3. Step 3: Cross multiply
   5,540.50x = 7,645.89 × 3,056.50
4. Step 4: Simplify right side
   5,540.50x = 23,369,662.79
5. Step 5: Solve for x
   x = 23,369,662.79/5,540.50
6. Step 6: Final answer
   x = 4,217.97