Finding the Fourth Proportional to 9,539.82, 13,166.46 and 5,763.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,539.82 : 13,166.46 = 5,763.60 : x
2. Step 2: Convert to fraction form
   9,539.82/13,166.46 = 5,763.60/x
3. Step 3: Cross multiply
   9,539.82x = 13,166.46 × 5,763.60
4. Step 4: Simplify right side
   9,539.82x = 75,886,208.86
5. Step 5: Solve for x
   x = 75,886,208.86/9,539.82
6. Step 6: Final answer
   x = 7,954.68