Finding the Fourth Proportional to 6,621.75, 9,139.23 and 3,827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,621.75 : 9,139.23 = 3,827.25 : x
2. Step 2: Convert to fraction form
   6,621.75/9,139.23 = 3,827.25/x
3. Step 3: Cross multiply
   6,621.75x = 9,139.23 × 3,827.25
4. Step 4: Simplify right side
   6,621.75x = 34,978,118.02
5. Step 5: Solve for x
   x = 34,978,118.02/6,621.75
6. Step 6: Final answer
   x = 5,282.31