Finding the Fourth Proportional to 5,498.50, 7,582.23 and 3,821.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,498.50 : 7,582.23 = 3,821.80 : x
2. Step 2: Convert to fraction form
   5,498.50/7,582.23 = 3,821.80/x
3. Step 3: Cross multiply
   5,498.50x = 7,582.23 × 3,821.80
4. Step 4: Simplify right side
   5,498.50x = 28,977,766.61
5. Step 5: Solve for x
   x = 28,977,766.61/5,498.50
6. Step 6: Final answer
   x = 5,270.12