Finding the Fourth Proportional to 9,896.86, 13,656.63 and 5,647.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.86 : 13,656.63 = 5,647.60 : x
2. Step 2: Convert to fraction form
   9,896.86/13,656.63 = 5,647.60/x
3. Step 3: Cross multiply
   9,896.86x = 13,656.63 × 5,647.60
4. Step 4: Simplify right side
   9,896.86x = 77,127,183.59
5. Step 5: Solve for x
   x = 77,127,183.59/9,896.86
6. Step 6: Final answer
   x = 7,793.10