Finding the Fourth Proportional to 11,647.60, 17,456.82 and 5,805.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,647.60 : 17,456.82 = 5,805.88 : x
2. Step 2: Convert to fraction form
   11,647.60/17,456.82 = 5,805.88/x
3. Step 3: Cross multiply
   11,647.60x = 17,456.82 × 5,805.88
4. Step 4: Simplify right side
   11,647.60x = 101,352,136.69
5. Step 5: Solve for x
   x = 101,352,136.69/11,647.60
6. Step 6: Final answer
   x = 8,701.55