Finding the Fourth Proportional to 9,150.20, 12,617.78 and 7,828.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,150.20 : 12,617.78 = 7,828.28 : x
2. Step 2: Convert to fraction form
   9,150.20/12,617.78 = 7,828.28/x
3. Step 3: Cross multiply
   9,150.20x = 12,617.78 × 7,828.28
4. Step 4: Simplify right side
   9,150.20x = 98,775,514.82
5. Step 5: Solve for x
   x = 98,775,514.82/9,150.20
6. Step 6: Final answer
   x = 10,794.90