Finding the Fourth Proportional to 8,813.10, 12,164.12 and 5,663.82

Step by Step Solution

1. Step 1: Write the proportion equation
   8,813.10 : 12,164.12 = 5,663.82 : x
2. Step 2: Convert to fraction form
   8,813.10/12,164.12 = 5,663.82/x
3. Step 3: Cross multiply
   8,813.10x = 12,164.12 × 5,663.82
4. Step 4: Simplify right side
   8,813.10x = 68,895,456.53
5. Step 5: Solve for x
   x = 68,895,456.53/8,813.10
6. Step 6: Final answer
   x = 7,817.39