Finding the Fourth Proportional to 9,897.27, 13,659.51 and 5,647.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,897.27 : 13,659.51 = 5,647.35 : x
2. Step 2: Convert to fraction form
   9,897.27/13,659.51 = 5,647.35/x
3. Step 3: Cross multiply
   9,897.27x = 13,659.51 × 5,647.35
4. Step 4: Simplify right side
   9,897.27x = 77,140,033.80
5. Step 5: Solve for x
   x = 77,140,033.80/9,897.27
6. Step 6: Final answer
   x = 7,794.07