Finding the Fourth Proportional to 9,089.69, 13,624.71 and 3,823.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,089.69 : 13,624.71 = 3,823.48 : x
2. Step 2: Convert to fraction form
   9,089.69/13,624.71 = 3,823.48/x
3. Step 3: Cross multiply
   9,089.69x = 13,624.71 × 3,823.48
4. Step 4: Simplify right side
   9,089.69x = 52,093,806.19
5. Step 5: Solve for x
   x = 52,093,806.19/9,089.69
6. Step 6: Final answer
   x = 5,731.09