Finding the Fourth Proportional to 9,288.54, 12,824.19 and 5,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288.54 : 12,824.19 = 5,755.50 : x
2. Step 2: Convert to fraction form
   9,288.54/12,824.19 = 5,755.50/x
3. Step 3: Cross multiply
   9,288.54x = 12,824.19 × 5,755.50
4. Step 4: Simplify right side
   9,288.54x = 73,809,625.55
5. Step 5: Solve for x
   x = 73,809,625.55/9,288.54
6. Step 6: Final answer
   x = 7,946.31