Finding the Fourth Proportional to 9,645.20, 13,308.56 and 5,865.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.20 : 13,308.56 = 5,865.36 : x
2. Step 2: Convert to fraction form
   9,645.20/13,308.56 = 5,865.36/x
3. Step 3: Cross multiply
   9,645.20x = 13,308.56 × 5,865.36
4. Step 4: Simplify right side
   9,645.20x = 78,059,495.48
5. Step 5: Solve for x
   x = 78,059,495.48/9,645.20
6. Step 6: Final answer
   x = 8,093.09