Finding the Fourth Proportional to 10,978, 16,469.68 and 3,582.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 16,469.68 = 3,582.80 : x
2. Step 2: Convert to fraction form
   10,978/16,469.68 = 3,582.80/x
3. Step 3: Cross multiply
   10,978x = 16,469.68 × 3,582.80
4. Step 4: Simplify right side
   10,978x = 59,007,569.50
5. Step 5: Solve for x
   x = 59,007,569.50/10,978
6. Step 6: Final answer
   x = 5,375.07