Finding the Fourth Proportional to 9,606.16, 14,400.69 and 3,766.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606.16 : 14,400.69 = 3,766.84 : x
2. Step 2: Convert to fraction form
   9,606.16/14,400.69 = 3,766.84/x
3. Step 3: Cross multiply
   9,606.16x = 14,400.69 × 3,766.84
4. Step 4: Simplify right side
   9,606.16x = 54,245,095.12
5. Step 5: Solve for x
   x = 54,245,095.12/9,606.16
6. Step 6: Final answer
   x = 5,646.91