Finding the Fourth Proportional to 9,211.83, 13,819.90 and 3,665.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,211.83 : 13,819.90 = 3,665.49 : x
2. Step 2: Convert to fraction form
   9,211.83/13,819.90 = 3,665.49/x
3. Step 3: Cross multiply
   9,211.83x = 13,819.90 × 3,665.49
4. Step 4: Simplify right side
   9,211.83x = 50,656,705.25
5. Step 5: Solve for x
   x = 50,656,705.25/9,211.83
6. Step 6: Final answer
   x = 5,499.09