Finding the Fourth Proportional to 10,466.78, 14,443.90 and 5,750.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.78 : 14,443.90 = 5,750.96 : x
2. Step 2: Convert to fraction form
   10,466.78/14,443.90 = 5,750.96/x
3. Step 3: Cross multiply
   10,466.78x = 14,443.90 × 5,750.96
4. Step 4: Simplify right side
   10,466.78x = 83,066,291.14
5. Step 5: Solve for x
   x = 83,066,291.14/10,466.78
6. Step 6: Final answer
   x = 7,936.18