Finding the Fourth Proportional to 9,754.81, 14,625.59 and 3,827.99

Step by Step Solution

1. Step 1: Write the proportion equation
   9,754.81 : 14,625.59 = 3,827.99 : x
2. Step 2: Convert to fraction form
   9,754.81/14,625.59 = 3,827.99/x
3. Step 3: Cross multiply
   9,754.81x = 14,625.59 × 3,827.99
4. Step 4: Simplify right side
   9,754.81x = 55,986,629.69
5. Step 5: Solve for x
   x = 55,986,629.69/9,754.81
6. Step 6: Final answer
   x = 5,739.39