Finding the Fourth Proportional to 9,563.86, 13,198.14 and 5,372.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,563.86 : 13,198.14 = 5,372.14 : x
2. Step 2: Convert to fraction form
   9,563.86/13,198.14 = 5,372.14/x
3. Step 3: Cross multiply
   9,563.86x = 13,198.14 × 5,372.14
4. Step 4: Simplify right side
   9,563.86x = 70,902,255.82
5. Step 5: Solve for x
   x = 70,902,255.82/9,563.86
6. Step 6: Final answer
   x = 7,413.56