Finding the Fourth Proportional to 9,825.54, 14,738.12 and 2,429.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.54 : 14,738.12 = 2,429.84 : x
2. Step 2: Convert to fraction form
   9,825.54/14,738.12 = 2,429.84/x
3. Step 3: Cross multiply
   9,825.54x = 14,738.12 × 2,429.84
4. Step 4: Simplify right side
   9,825.54x = 35,811,273.50
5. Step 5: Solve for x
   x = 35,811,273.50/9,825.54
6. Step 6: Final answer
   x = 3,644.71