Finding the Fourth Proportional to 9,896.42, 13,658.62 and 5,647.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.42 : 13,658.62 = 5,647.48 : x
2. Step 2: Convert to fraction form
   9,896.42/13,658.62 = 5,647.48/x
3. Step 3: Cross multiply
   9,896.42x = 13,658.62 × 5,647.48
4. Step 4: Simplify right side
   9,896.42x = 77,136,783.28
5. Step 5: Solve for x
   x = 77,136,783.28/9,896.42
6. Step 6: Final answer
   x = 7,794.41