Finding the Fourth Proportional to 9,855.75, 13,601.49 and 5,664.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,855.75 : 13,601.49 = 5,664.27 : x
2. Step 2: Convert to fraction form
   9,855.75/13,601.49 = 5,664.27/x
3. Step 3: Cross multiply
   9,855.75x = 13,601.49 × 5,664.27
4. Step 4: Simplify right side
   9,855.75x = 77,042,511.76
5. Step 5: Solve for x
   x = 77,042,511.76/9,855.75
6. Step 6: Final answer
   x = 7,817.01