Finding the Fourth Proportional to 8,189.82, 12,282.12 and 4,292.10

Step by Step Solution

1. Step 1: Write the proportion equation
   8,189.82 : 12,282.12 = 4,292.10 : x
2. Step 2: Convert to fraction form
   8,189.82/12,282.12 = 4,292.10/x
3. Step 3: Cross multiply
   8,189.82x = 12,282.12 × 4,292.10
4. Step 4: Simplify right side
   8,189.82x = 52,716,087.25
5. Step 5: Solve for x
   x = 52,716,087.25/8,189.82
6. Step 6: Final answer
   x = 6,436.78