Finding the Fourth Proportional to 9,229.98, 13,821.78 and 5,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,229.98 : 13,821.78 = 5,705.50 : x
2. Step 2: Convert to fraction form
   9,229.98/13,821.78 = 5,705.50/x
3. Step 3: Cross multiply
   9,229.98x = 13,821.78 × 5,705.50
4. Step 4: Simplify right side
   9,229.98x = 78,860,165.79
5. Step 5: Solve for x
   x = 78,860,165.79/9,229.98
6. Step 6: Final answer
   x = 8,543.92