Finding the Fourth Proportional to 10,468.86, 15,694.65 and 7,695.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,468.86 : 15,694.65 = 7,695.42 : x
2. Step 2: Convert to fraction form
   10,468.86/15,694.65 = 7,695.42/x
3. Step 3: Cross multiply
   10,468.86x = 15,694.65 × 7,695.42
4. Step 4: Simplify right side
   10,468.86x = 120,776,923.50
5. Step 5: Solve for x
   x = 120,776,923.50/10,468.86
6. Step 6: Final answer
   x = 11,536.78