Finding the Fourth Proportional to 9,213.30, 13,809.60 and 3,665.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,213.30 : 13,809.60 = 3,665.14 : x
2. Step 2: Convert to fraction form
   9,213.30/13,809.60 = 3,665.14/x
3. Step 3: Cross multiply
   9,213.30x = 13,809.60 × 3,665.14
4. Step 4: Simplify right side
   9,213.30x = 50,614,082.82
5. Step 5: Solve for x
   x = 50,614,082.82/9,213.30
6. Step 6: Final answer
   x = 5,493.59