Finding the Fourth Proportional to 12,767.29, 17,616.24 and 7,461.07

Step by Step Solution

1. Step 1: Write the proportion equation
   12,767.29 : 17,616.24 = 7,461.07 : x
2. Step 2: Convert to fraction form
   12,767.29/17,616.24 = 7,461.07/x
3. Step 3: Cross multiply
   12,767.29x = 17,616.24 × 7,461.07
4. Step 4: Simplify right side
   12,767.29x = 131,435,999.78
5. Step 5: Solve for x
   x = 131,435,999.78/12,767.29
6. Step 6: Final answer
   x = 10,294.75