Finding the Fourth Proportional to 9,838.24, 13,583.62 and 7,596.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.24 : 13,583.62 = 7,596.56 : x
2. Step 2: Convert to fraction form
   9,838.24/13,583.62 = 7,596.56/x
3. Step 3: Cross multiply
   9,838.24x = 13,583.62 × 7,596.56
4. Step 4: Simplify right side
   9,838.24x = 103,188,784.35
5. Step 5: Solve for x
   x = 103,188,784.35/9,838.24
6. Step 6: Final answer
   x = 10,488.54