Finding the Fourth Proportional to 12,769.20, 19,154.72 and 3,409.16

Step by Step Solution

1. Step 1: Write the proportion equation
   12,769.20 : 19,154.72 = 3,409.16 : x
2. Step 2: Convert to fraction form
   12,769.20/19,154.72 = 3,409.16/x
3. Step 3: Cross multiply
   12,769.20x = 19,154.72 × 3,409.16
4. Step 4: Simplify right side
   12,769.20x = 65,301,505.24
5. Step 5: Solve for x
   x = 65,301,505.24/12,769.20
6. Step 6: Final answer
   x = 5,113.99