Finding the Fourth Proportional to 5,644.50, 8,466.78 and 1,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.50 : 8,466.78 = 1,540.50 : x
2. Step 2: Convert to fraction form
   5,644.50/8,466.78 = 1,540.50/x
3. Step 3: Cross multiply
   5,644.50x = 8,466.78 × 1,540.50
4. Step 4: Simplify right side
   5,644.50x = 13,043,074.59
5. Step 5: Solve for x
   x = 13,043,074.59/5,644.50
6. Step 6: Final answer
   x = 2,310.76