Finding the Fourth Proportional to 9,645.00, 13,309.57 and 5,395.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.00 : 13,309.57 = 5,395.24 : x
2. Step 2: Convert to fraction form
   9,645.00/13,309.57 = 5,395.24/x
3. Step 3: Cross multiply
   9,645.00x = 13,309.57 × 5,395.24
4. Step 4: Simplify right side
   9,645.00x = 71,808,345.55
5. Step 5: Solve for x
   x = 71,808,345.55/9,645.00
6. Step 6: Final answer
   x = 7,445.13