Finding the Fourth Proportional to 12,769.38, 17,616.33 and 7,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,769.38 : 17,616.33 = 7,798.50 : x
2. Step 2: Convert to fraction form
   12,769.38/17,616.33 = 7,798.50/x
3. Step 3: Cross multiply
   12,769.38x = 17,616.33 × 7,798.50
4. Step 4: Simplify right side
   12,769.38x = 137,380,949.51
5. Step 5: Solve for x
   x = 137,380,949.51/12,769.38
6. Step 6: Final answer
   x = 10,758.62