Finding the Fourth Proportional to 6,623.37, 9,138.83 and 3,827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,623.37 : 9,138.83 = 3,827.25 : x
2. Step 2: Convert to fraction form
   6,623.37/9,138.83 = 3,827.25/x
3. Step 3: Cross multiply
   6,623.37x = 9,138.83 × 3,827.25
4. Step 4: Simplify right side
   6,623.37x = 34,976,567.98
5. Step 5: Solve for x
   x = 34,976,567.98/6,623.37
6. Step 6: Final answer
   x = 5,280.78