Finding the Fourth Proportional to 9,678.20, 14,518.42 and 3,835.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.20 : 14,518.42 = 3,835.32 : x
2. Step 2: Convert to fraction form
   9,678.20/14,518.42 = 3,835.32/x
3. Step 3: Cross multiply
   9,678.20x = 14,518.42 × 3,835.32
4. Step 4: Simplify right side
   9,678.20x = 55,682,786.59
5. Step 5: Solve for x
   x = 55,682,786.59/9,678.20
6. Step 6: Final answer
   x = 5,753.42