Finding the Fourth Proportional to 9,838.52, 14,759.92 and 3,682.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.52 : 14,759.92 = 3,682.52 : x
2. Step 2: Convert to fraction form
   9,838.52/14,759.92 = 3,682.52/x
3. Step 3: Cross multiply
   9,838.52x = 14,759.92 × 3,682.52
4. Step 4: Simplify right side
   9,838.52x = 54,353,700.60
5. Step 5: Solve for x
   x = 54,353,700.60/9,838.52
6. Step 6: Final answer
   x = 5,524.58