Finding the Fourth Proportional to 5,665.50, 7,818.22 and 3,147.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.50 : 7,818.22 = 3,147.60 : x
2. Step 2: Convert to fraction form
   5,665.50/7,818.22 = 3,147.60/x
3. Step 3: Cross multiply
   5,665.50x = 7,818.22 × 3,147.60
4. Step 4: Simplify right side
   5,665.50x = 24,608,629.27
5. Step 5: Solve for x
   x = 24,608,629.27/5,665.50
6. Step 6: Final answer
   x = 4,343.59