Finding the Fourth Proportional to 8,322.82, 11,468.19 and 5,665.62

Step by Step Solution

1. Step 1: Write the proportion equation
   8,322.82 : 11,468.19 = 5,665.62 : x
2. Step 2: Convert to fraction form
   8,322.82/11,468.19 = 5,665.62/x
3. Step 3: Cross multiply
   8,322.82x = 11,468.19 × 5,665.62
4. Step 4: Simplify right side
   8,322.82x = 64,974,406.63
5. Step 5: Solve for x
   x = 64,974,406.63/8,322.82
6. Step 6: Final answer
   x = 7,806.78