Finding the Fourth Proportional to 10,802.12, 16,206 and 3,406.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.12 : 16,206 = 3,406.82 : x
2. Step 2: Convert to fraction form
   10,802.12/16,206 = 3,406.82/x
3. Step 3: Cross multiply
   10,802.12x = 16,206 × 3,406.82
4. Step 4: Simplify right side
   10,802.12x = 55,210,924.92
5. Step 5: Solve for x
   x = 55,210,924.92/10,802.12
6. Step 6: Final answer
   x = 5,111.12