Finding the Fourth Proportional to 9,786.83, 14,678.87 and 3,212.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.83 : 14,678.87 = 3,212.16 : x
2. Step 2: Convert to fraction form
   9,786.83/14,678.87 = 3,212.16/x
3. Step 3: Cross multiply
   9,786.83x = 14,678.87 × 3,212.16
4. Step 4: Simplify right side
   9,786.83x = 47,150,826.02
5. Step 5: Solve for x
   x = 47,150,826.02/9,786.83
6. Step 6: Final answer
   x = 4,817.79