Finding the Fourth Proportional to 9,853, 13,597.32 and 5,662.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,853 : 13,597.32 = 5,662.24 : x
2. Step 2: Convert to fraction form
   9,853/13,597.32 = 5,662.24/x
3. Step 3: Cross multiply
   9,853x = 13,597.32 × 5,662.24
4. Step 4: Simplify right side
   9,853x = 76,991,289.20
5. Step 5: Solve for x
   x = 76,991,289.20/9,853
6. Step 6: Final answer
   x = 7,813.99