Finding the Fourth Proportional to 11,661.71, 17,495.96 and 3,765.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,661.71 : 17,495.96 = 3,765.42 : x
2. Step 2: Convert to fraction form
   11,661.71/17,495.96 = 3,765.42/x
3. Step 3: Cross multiply
   11,661.71x = 17,495.96 × 3,765.42
4. Step 4: Simplify right side
   11,661.71x = 65,879,618.88
5. Step 5: Solve for x
   x = 65,879,618.88/11,661.71
6. Step 6: Final answer
   x = 5,649.23