Finding the Fourth Proportional to 11,665.38, 17,499.83 and 3,765.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,665.38 : 17,499.83 = 3,765.25 : x
2. Step 2: Convert to fraction form
   11,665.38/17,499.83 = 3,765.25/x
3. Step 3: Cross multiply
   11,665.38x = 17,499.83 × 3,765.25
4. Step 4: Simplify right side
   11,665.38x = 65,891,234.91
5. Step 5: Solve for x
   x = 65,891,234.91/11,665.38
6. Step 6: Final answer
   x = 5,648.44