Finding the Fourth Proportional to 10,466.14, 14,443.50 and 5,750.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.14 : 14,443.50 = 5,750.68 : x
2. Step 2: Convert to fraction form
   10,466.14/14,443.50 = 5,750.68/x
3. Step 3: Cross multiply
   10,466.14x = 14,443.50 × 5,750.68
4. Step 4: Simplify right side
   10,466.14x = 83,059,946.58
5. Step 5: Solve for x
   x = 83,059,946.58/10,466.14
6. Step 6: Final answer
   x = 7,936.06