Finding the Fourth Proportional to 9,632.96, 14,445.78 and 3,786.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,632.96 : 14,445.78 = 3,786.38 : x
2. Step 2: Convert to fraction form
   9,632.96/14,445.78 = 3,786.38/x
3. Step 3: Cross multiply
   9,632.96x = 14,445.78 × 3,786.38
4. Step 4: Simplify right side
   9,632.96x = 54,697,212.48
5. Step 5: Solve for x
   x = 54,697,212.48/9,632.96
6. Step 6: Final answer
   x = 5,678.13