Finding the Fourth Proportional to 13,782.27, 20,680.24 and 5,462.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,782.27 : 20,680.24 = 5,462.10 : x
2. Step 2: Convert to fraction form
   13,782.27/20,680.24 = 5,462.10/x
3. Step 3: Cross multiply
   13,782.27x = 20,680.24 × 5,462.10
4. Step 4: Simplify right side
   13,782.27x = 112,957,544.27
5. Step 5: Solve for x
   x = 112,957,544.27/13,782.27
6. Step 6: Final answer
   x = 8,195.86