Finding the Fourth Proportional to 8,815.10, 12,166.88 and 5,665.82

Step by Step Solution

1. Step 1: Write the proportion equation
   8,815.10 : 12,166.88 = 5,665.82 : x
2. Step 2: Convert to fraction form
   8,815.10/12,166.88 = 5,665.82/x
3. Step 3: Cross multiply
   8,815.10x = 12,166.88 × 5,665.82
4. Step 4: Simplify right side
   8,815.10x = 68,935,352.04
5. Step 5: Solve for x
   x = 68,935,352.04/8,815.10
6. Step 6: Final answer
   x = 7,820.14