Finding the Fourth Proportional to 9,219.90, 12,724.61 and 5,634.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,219.90 : 12,724.61 = 5,634.12 : x
2. Step 2: Convert to fraction form
   9,219.90/12,724.61 = 5,634.12/x
3. Step 3: Cross multiply
   9,219.90x = 12,724.61 × 5,634.12
4. Step 4: Simplify right side
   9,219.90x = 71,691,951.52
5. Step 5: Solve for x
   x = 71,691,951.52/9,219.90
6. Step 6: Final answer
   x = 7,775.78