Finding the Fourth Proportional to 8,216.10, 11,342.82 and 5,667.63

Step by Step Solution

1. Step 1: Write the proportion equation
   8,216.10 : 11,342.82 = 5,667.63 : x
2. Step 2: Convert to fraction form
   8,216.10/11,342.82 = 5,667.63/x
3. Step 3: Cross multiply
   8,216.10x = 11,342.82 × 5,667.63
4. Step 4: Simplify right side
   8,216.10x = 64,286,906.92
5. Step 5: Solve for x
   x = 64,286,906.92/8,216.10
6. Step 6: Final answer
   x = 7,824.50