Finding the Fourth Proportional to 12,821.00, 17,687.57 and 7,783.27

Step by Step Solution

1. Step 1: Write the proportion equation
   12,821.00 : 17,687.57 = 7,783.27 : x
2. Step 2: Convert to fraction form
   12,821.00/17,687.57 = 7,783.27/x
3. Step 3: Cross multiply
   12,821.00x = 17,687.57 × 7,783.27
4. Step 4: Simplify right side
   12,821.00x = 137,667,049.82
5. Step 5: Solve for x
   x = 137,667,049.82/12,821.00
6. Step 6: Final answer
   x = 10,737.63