Finding the Fourth Proportional to 10,185.12, 14,063.82 and 6,414.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.12 : 14,063.82 = 6,414.36 : x
2. Step 2: Convert to fraction form
   10,185.12/14,063.82 = 6,414.36/x
3. Step 3: Cross multiply
   10,185.12x = 14,063.82 × 6,414.36
4. Step 4: Simplify right side
   10,185.12x = 90,210,404.46
5. Step 5: Solve for x
   x = 90,210,404.46/10,185.12
6. Step 6: Final answer
   x = 8,857.08