Finding the Fourth Proportional to 9,829.72, 13,564.56 and 5,851.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.72 : 13,564.56 = 5,851.27 : x
2. Step 2: Convert to fraction form
   9,829.72/13,564.56 = 5,851.27/x
3. Step 3: Cross multiply
   9,829.72x = 13,564.56 × 5,851.27
4. Step 4: Simplify right side
   9,829.72x = 79,369,902.99
5. Step 5: Solve for x
   x = 79,369,902.99/9,829.72
6. Step 6: Final answer
   x = 8,074.48