Finding the Fourth Proportional to 12,823.61, 17,696.09 and 7,158.29

Step by Step Solution

1. Step 1: Write the proportion equation
   12,823.61 : 17,696.09 = 7,158.29 : x
2. Step 2: Convert to fraction form
   12,823.61/17,696.09 = 7,158.29/x
3. Step 3: Cross multiply
   12,823.61x = 17,696.09 × 7,158.29
4. Step 4: Simplify right side
   12,823.61x = 126,673,673.50
5. Step 5: Solve for x
   x = 126,673,673.50/12,823.61
6. Step 6: Final answer
   x = 9,878.16