Finding the Fourth Proportional to 9,727.58, 14,591.67 and 3,804.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,727.58 : 14,591.67 = 3,804.23 : x
2. Step 2: Convert to fraction form
   9,727.58/14,591.67 = 3,804.23/x
3. Step 3: Cross multiply
   9,727.58x = 14,591.67 × 3,804.23
4. Step 4: Simplify right side
   9,727.58x = 55,509,995.81
5. Step 5: Solve for x
   x = 55,509,995.81/9,727.58
6. Step 6: Final answer
   x = 5,706.46