Finding the Fourth Proportional to 9,414, 12,991.32 and 5,222.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414 : 12,991.32 = 5,222.28 : x
2. Step 2: Convert to fraction form
   9,414/12,991.32 = 5,222.28/x
3. Step 3: Cross multiply
   9,414x = 12,991.32 × 5,222.28
4. Step 4: Simplify right side
   9,414x = 67,844,310.61
5. Step 5: Solve for x
   x = 67,844,310.61/9,414
6. Step 6: Final answer
   x = 7,206.75