Finding the Fourth Proportional to 10,683.64, 16,096.72 and 9,644.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,683.64 : 16,096.72 = 9,644.82 : x
2. Step 2: Convert to fraction form
   10,683.64/16,096.72 = 9,644.82/x
3. Step 3: Cross multiply
   10,683.64x = 16,096.72 × 9,644.82
4. Step 4: Simplify right side
   10,683.64x = 155,249,966.99
5. Step 5: Solve for x
   x = 155,249,966.99/10,683.64
6. Step 6: Final answer
   x = 14,531.56