Finding the Fourth Proportional to 10,466.40, 14,443.76 and 5,750.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.40 : 14,443.76 = 5,750.69 : x
2. Step 2: Convert to fraction form
   10,466.40/14,443.76 = 5,750.69/x
3. Step 3: Cross multiply
   10,466.40x = 14,443.76 × 5,750.69
4. Step 4: Simplify right side
   10,466.40x = 83,061,485.22
5. Step 5: Solve for x
   x = 83,061,485.22/10,466.40
6. Step 6: Final answer
   x = 7,936.01