Finding the Fourth Proportional to 9,414.50, 12,992.01 and 5,222.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.50 : 12,992.01 = 5,222.78 : x
2. Step 2: Convert to fraction form
   9,414.50/12,992.01 = 5,222.78/x
3. Step 3: Cross multiply
   9,414.50x = 12,992.01 × 5,222.78
4. Step 4: Simplify right side
   9,414.50x = 67,854,409.99
5. Step 5: Solve for x
   x = 67,854,409.99/9,414.50
6. Step 6: Final answer
   x = 7,207.44