Finding the Fourth Proportional to 9,674.74, 14,508.01 and 3,827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,674.74 : 14,508.01 = 3,827.25 : x
2. Step 2: Convert to fraction form
   9,674.74/14,508.01 = 3,827.25/x
3. Step 3: Cross multiply
   9,674.74x = 14,508.01 × 3,827.25
4. Step 4: Simplify right side
   9,674.74x = 55,525,786.06
5. Step 5: Solve for x
   x = 55,525,786.06/9,674.74
6. Step 6: Final answer
   x = 5,739.25