Finding the Fourth Proportional to 10,475.69, 14,456.50 and 5,695.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,475.69 : 14,456.50 = 5,695.68 : x
2. Step 2: Convert to fraction form
   10,475.69/14,456.50 = 5,695.68/x
3. Step 3: Cross multiply
   10,475.69x = 14,456.50 × 5,695.68
4. Step 4: Simplify right side
   10,475.69x = 82,339,597.92
5. Step 5: Solve for x
   x = 82,339,597.92/10,475.69
6. Step 6: Final answer
   x = 7,860.06