Finding the Fourth Proportional to 10,475.64, 14,456.43 and 5,760.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,475.64 : 14,456.43 = 5,760.09 : x
2. Step 2: Convert to fraction form
   10,475.64/14,456.43 = 5,760.09/x
3. Step 3: Cross multiply
   10,475.64x = 14,456.43 × 5,760.09
4. Step 4: Simplify right side
   10,475.64x = 83,270,337.88
5. Step 5: Solve for x
   x = 83,270,337.88/10,475.64
6. Step 6: Final answer
   x = 7,948.95