Finding the Fourth Proportional to 12,208.82, 18,314.14 and 5,188.05

Step by Step Solution

1. Step 1: Write the proportion equation
   12,208.82 : 18,314.14 = 5,188.05 : x
2. Step 2: Convert to fraction form
   12,208.82/18,314.14 = 5,188.05/x
3. Step 3: Cross multiply
   12,208.82x = 18,314.14 × 5,188.05
4. Step 4: Simplify right side
   12,208.82x = 95,014,582.46
5. Step 5: Solve for x
   x = 95,014,582.46/12,208.82
6. Step 6: Final answer
   x = 7,782.45