Finding the Fourth Proportional to 10,172.69, 14,037.61 and 6,814.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172.69 : 14,037.61 = 6,814.96 : x
2. Step 2: Convert to fraction form
   10,172.69/14,037.61 = 6,814.96/x
3. Step 3: Cross multiply
   10,172.69x = 14,037.61 × 6,814.96
4. Step 4: Simplify right side
   10,172.69x = 95,665,716.57
5. Step 5: Solve for x
   x = 95,665,716.57/10,172.69
6. Step 6: Final answer
   x = 9,404.17