Finding the Fourth Proportional to 9,784.28, 14,639.83 and 5,821.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.28 : 14,639.83 = 5,821.09 : x
2. Step 2: Convert to fraction form
   9,784.28/14,639.83 = 5,821.09/x
3. Step 3: Cross multiply
   9,784.28x = 14,639.83 × 5,821.09
4. Step 4: Simplify right side
   9,784.28x = 85,219,716.86
5. Step 5: Solve for x
   x = 85,219,716.86/9,784.28
6. Step 6: Final answer
   x = 8,709.86