Finding the Fourth Proportional to 9,414.34, 12,991.78 and 5,222.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.34 : 12,991.78 = 5,222.58 : x
2. Step 2: Convert to fraction form
   9,414.34/12,991.78 = 5,222.58/x
3. Step 3: Cross multiply
   9,414.34x = 12,991.78 × 5,222.58
4. Step 4: Simplify right side
   9,414.34x = 67,850,610.39
5. Step 5: Solve for x
   x = 67,850,610.39/9,414.34
6. Step 6: Final answer
   x = 7,207.16