Finding the Fourth Proportional to 9,414.25, 12,992.07 and 5,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.25 : 12,992.07 = 5,222.50 : x
2. Step 2: Convert to fraction form
   9,414.25/12,992.07 = 5,222.50/x
3. Step 3: Cross multiply
   9,414.25x = 12,992.07 × 5,222.50
4. Step 4: Simplify right side
   9,414.25x = 67,851,085.58
5. Step 5: Solve for x
   x = 67,851,085.58/9,414.25
6. Step 6: Final answer
   x = 7,207.27