Finding the Fourth Proportional to 10,466.48, 14,443.84 and 5,750.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.48 : 14,443.84 = 5,750.76 : x
2. Step 2: Convert to fraction form
   10,466.48/14,443.84 = 5,750.76/x
3. Step 3: Cross multiply
   10,466.48x = 14,443.84 × 5,750.76
4. Step 4: Simplify right side
   10,466.48x = 83,063,057.32
5. Step 5: Solve for x
   x = 83,063,057.32/10,466.48
6. Step 6: Final answer
   x = 7,936.10