Finding the Fourth Proportional to 9,645.35, 13,311.50 and 5,867.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.35 : 13,311.50 = 5,867.64 : x
2. Step 2: Convert to fraction form
   9,645.35/13,311.50 = 5,867.64/x
3. Step 3: Cross multiply
   9,645.35x = 13,311.50 × 5,867.64
4. Step 4: Simplify right side
   9,645.35x = 78,107,060.52
5. Step 5: Solve for x
   x = 78,107,060.52/9,645.35
6. Step 6: Final answer
   x = 8,097.90