Finding the Fourth Proportional to 9,966.58, 13,752.69 and 5,717.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,966.58 : 13,752.69 = 5,717.42 : x
2. Step 2: Convert to fraction form
   9,966.58/13,752.69 = 5,717.42/x
3. Step 3: Cross multiply
   9,966.58x = 13,752.69 × 5,717.42
4. Step 4: Simplify right side
   9,966.58x = 78,629,866.23
5. Step 5: Solve for x
   x = 78,629,866.23/9,966.58
6. Step 6: Final answer
   x = 7,889.35