Finding the Fourth Proportional to 11,788.50, 17,684.82 and 4,768.23

Step by Step Solution

1. Step 1: Write the proportion equation
   11,788.50 : 17,684.82 = 4,768.23 : x
2. Step 2: Convert to fraction form
   11,788.50/17,684.82 = 4,768.23/x
3. Step 3: Cross multiply
   11,788.50x = 17,684.82 × 4,768.23
4. Step 4: Simplify right side
   11,788.50x = 84,325,289.27
5. Step 5: Solve for x
   x = 84,325,289.27/11,788.50
6. Step 6: Final answer
   x = 7,153.18