Finding the Fourth Proportional to 10,978.60, 16,462.30 and 3,578.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.60 : 16,462.30 = 3,578.31 : x
2. Step 2: Convert to fraction form
   10,978.60/16,462.30 = 3,578.31/x
3. Step 3: Cross multiply
   10,978.60x = 16,462.30 × 3,578.31
4. Step 4: Simplify right side
   10,978.60x = 58,907,121.46
5. Step 5: Solve for x
   x = 58,907,121.46/10,978.60
6. Step 6: Final answer
   x = 5,365.63