Finding the Fourth Proportional to 7,743.80, 10,682.89 and 5,227.54

Step by Step Solution

1. Step 1: Write the proportion equation
   7,743.80 : 10,682.89 = 5,227.54 : x
2. Step 2: Convert to fraction form
   7,743.80/10,682.89 = 5,227.54/x
3. Step 3: Cross multiply
   7,743.80x = 10,682.89 × 5,227.54
4. Step 4: Simplify right side
   7,743.80x = 55,845,195.01
5. Step 5: Solve for x
   x = 55,845,195.01/7,743.80
6. Step 6: Final answer
   x = 7,211.60