Finding the Fourth Proportional to 9,643.52, 13,306.56 and 5,867.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.52 : 13,306.56 = 5,867.84 : x
2. Step 2: Convert to fraction form
   9,643.52/13,306.56 = 5,867.84/x
3. Step 3: Cross multiply
   9,643.52x = 13,306.56 × 5,867.84
4. Step 4: Simplify right side
   9,643.52x = 78,080,765.03
5. Step 5: Solve for x
   x = 78,080,765.03/9,643.52
6. Step 6: Final answer
   x = 8,096.71