Finding the Fourth Proportional to 6,823.42, 10,222.77 and 3,128.74

Step by Step Solution

1. Step 1: Write the proportion equation
   6,823.42 : 10,222.77 = 3,128.74 : x
2. Step 2: Convert to fraction form
   6,823.42/10,222.77 = 3,128.74/x
3. Step 3: Cross multiply
   6,823.42x = 10,222.77 × 3,128.74
4. Step 4: Simplify right side
   6,823.42x = 31,984,389.41
5. Step 5: Solve for x
   x = 31,984,389.41/6,823.42
6. Step 6: Final answer
   x = 4,687.44