Finding the Fourth Proportional to 8,321.91, 12,469.56 and 5,827.80

Step by Step Solution

1. Step 1: Write the proportion equation
   8,321.91 : 12,469.56 = 5,827.80 : x
2. Step 2: Convert to fraction form
   8,321.91/12,469.56 = 5,827.80/x
3. Step 3: Cross multiply
   8,321.91x = 12,469.56 × 5,827.80
4. Step 4: Simplify right side
   8,321.91x = 72,670,101.77
5. Step 5: Solve for x
   x = 72,670,101.77/8,321.91
6. Step 6: Final answer
   x = 8,732.38