Finding the Fourth Proportional to 9,766.50, 14,645.16 and 4,216.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.50 : 14,645.16 = 4,216.38 : x
2. Step 2: Convert to fraction form
   9,766.50/14,645.16 = 4,216.38/x
3. Step 3: Cross multiply
   9,766.50x = 14,645.16 × 4,216.38
4. Step 4: Simplify right side
   9,766.50x = 61,749,559.72
5. Step 5: Solve for x
   x = 61,749,559.72/9,766.50
6. Step 6: Final answer
   x = 6,322.59