Finding the Fourth Proportional to 10,475.46, 14,456.39 and 5,695.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,475.46 : 14,456.39 = 5,695.68 : x
2. Step 2: Convert to fraction form
   10,475.46/14,456.39 = 5,695.68/x
3. Step 3: Cross multiply
   10,475.46x = 14,456.39 × 5,695.68
4. Step 4: Simplify right side
   10,475.46x = 82,338,971.40
5. Step 5: Solve for x
   x = 82,338,971.40/10,475.46
6. Step 6: Final answer
   x = 7,860.18