Finding the Fourth Proportional to 5,162.48, 7,733.44 and 3,778.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,162.48 : 7,733.44 = 3,778.72 : x
2. Step 2: Convert to fraction form
   5,162.48/7,733.44 = 3,778.72/x
3. Step 3: Cross multiply
   5,162.48x = 7,733.44 × 3,778.72
4. Step 4: Simplify right side
   5,162.48x = 29,222,504.40
5. Step 5: Solve for x
   x = 29,222,504.40/5,162.48
6. Step 6: Final answer
   x = 5,660.56