Finding the Fourth Proportional to 10,096.41, 13,928.16 and 6,510.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.41 : 13,928.16 = 6,510.42 : x
2. Step 2: Convert to fraction form
   10,096.41/13,928.16 = 6,510.42/x
3. Step 3: Cross multiply
   10,096.41x = 13,928.16 × 6,510.42
4. Step 4: Simplify right side
   10,096.41x = 90,678,171.43
5. Step 5: Solve for x
   x = 90,678,171.43/10,096.41
6. Step 6: Final answer
   x = 8,981.23