Finding the Fourth Proportional to 10,681.46, 16,008.42 and 5,123.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,681.46 : 16,008.42 = 5,123.24 : x
2. Step 2: Convert to fraction form
   10,681.46/16,008.42 = 5,123.24/x
3. Step 3: Cross multiply
   10,681.46x = 16,008.42 × 5,123.24
4. Step 4: Simplify right side
   10,681.46x = 82,014,977.68
5. Step 5: Solve for x
   x = 82,014,977.68/10,681.46
6. Step 6: Final answer
   x = 7,678.26