Finding the Fourth Proportional to 9,563.84, 13,198.56 and 5,372

Step by Step Solution

1. Step 1: Write the proportion equation
   9,563.84 : 13,198.56 = 5,372 : x
2. Step 2: Convert to fraction form
   9,563.84/13,198.56 = 5,372/x
3. Step 3: Cross multiply
   9,563.84x = 13,198.56 × 5,372
4. Step 4: Simplify right side
   9,563.84x = 70,902,664.32
5. Step 5: Solve for x
   x = 70,902,664.32/9,563.84
6. Step 6: Final answer
   x = 7,413.62