Finding the Fourth Proportional to 10,456.64, 14,424.72 and 8,469.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.64 : 14,424.72 = 8,469.44 : x
2. Step 2: Convert to fraction form
   10,456.64/14,424.72 = 8,469.44/x
3. Step 3: Cross multiply
   10,456.64x = 14,424.72 × 8,469.44
4. Step 4: Simplify right side
   10,456.64x = 122,169,300.56
5. Step 5: Solve for x
   x = 122,169,300.56/10,456.64
6. Step 6: Final answer
   x = 11,683.42