Finding the Fourth Proportional to 10,476.29, 14,456.67 and 5,760.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,476.29 : 14,456.67 = 5,760.57 : x
2. Step 2: Convert to fraction form
   10,476.29/14,456.67 = 5,760.57/x
3. Step 3: Cross multiply
   10,476.29x = 14,456.67 × 5,760.57
4. Step 4: Simplify right side
   10,476.29x = 83,278,659.50
5. Step 5: Solve for x
   x = 83,278,659.50/10,476.29
6. Step 6: Final answer
   x = 7,949.25