Finding the Fourth Proportional to 10,822.64, 16,235.78 and 3,429.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822.64 : 16,235.78 = 3,429.16 : x
2. Step 2: Convert to fraction form
   10,822.64/16,235.78 = 3,429.16/x
3. Step 3: Cross multiply
   10,822.64x = 16,235.78 × 3,429.16
4. Step 4: Simplify right side
   10,822.64x = 55,675,029.61
5. Step 5: Solve for x
   x = 55,675,029.61/10,822.64
6. Step 6: Final answer
   x = 5,144.31