Finding the Fourth Proportional to 9,824.13, 14,738.76 and 4,896.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,824.13 : 14,738.76 = 4,896.09 : x
2. Step 2: Convert to fraction form
   9,824.13/14,738.76 = 4,896.09/x
3. Step 3: Cross multiply
   9,824.13x = 14,738.76 × 4,896.09
4. Step 4: Simplify right side
   9,824.13x = 72,162,295.45
5. Step 5: Solve for x
   x = 72,162,295.45/9,824.13
6. Step 6: Final answer
   x = 7,345.41