Finding the Fourth Proportional to 9,150.18, 12,617.82 and 7,828.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,150.18 : 12,617.82 = 7,828.26 : x
2. Step 2: Convert to fraction form
   9,150.18/12,617.82 = 7,828.26/x
3. Step 3: Cross multiply
   9,150.18x = 12,617.82 × 7,828.26
4. Step 4: Simplify right side
   9,150.18x = 98,775,575.59
5. Step 5: Solve for x
   x = 98,775,575.59/9,150.18
6. Step 6: Final answer
   x = 10,794.93