Finding the Fourth Proportional to 9,515.06, 13,128.21 and 5,786.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,515.06 : 13,128.21 = 5,786.42 : x
2. Step 2: Convert to fraction form
   9,515.06/13,128.21 = 5,786.42/x
3. Step 3: Cross multiply
   9,515.06x = 13,128.21 × 5,786.42
4. Step 4: Simplify right side
   9,515.06x = 75,965,336.91
5. Step 5: Solve for x
   x = 75,965,336.91/9,515.06
6. Step 6: Final answer
   x = 7,983.69