Finding the Fourth Proportional to 10,978.98, 16,462.86 and 3,578.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.98 : 16,462.86 = 3,578.68 : x
2. Step 2: Convert to fraction form
   10,978.98/16,462.86 = 3,578.68/x
3. Step 3: Cross multiply
   10,978.98x = 16,462.86 × 3,578.68
4. Step 4: Simplify right side
   10,978.98x = 58,915,307.82
5. Step 5: Solve for x
   x = 58,915,307.82/10,978.98
6. Step 6: Final answer
   x = 5,366.19