Finding the Fourth Proportional to 9,605.46, 14,416.38 and 3,766.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,605.46 : 14,416.38 = 3,766.14 : x
2. Step 2: Convert to fraction form
   9,605.46/14,416.38 = 3,766.14/x
3. Step 3: Cross multiply
   9,605.46x = 14,416.38 × 3,766.14
4. Step 4: Simplify right side
   9,605.46x = 54,294,105.37
5. Step 5: Solve for x
   x = 54,294,105.37/9,605.46
6. Step 6: Final answer
   x = 5,652.42