Finding the Fourth Proportional to 10,975.83, 16,459.61 and 3,578.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,975.83 : 16,459.61 = 3,578.55 : x
2. Step 2: Convert to fraction form
   10,975.83/16,459.61 = 3,578.55/x
3. Step 3: Cross multiply
   10,975.83x = 16,459.61 × 3,578.55
4. Step 4: Simplify right side
   10,975.83x = 58,901,519.47
5. Step 5: Solve for x
   x = 58,901,519.47/10,975.83
6. Step 6: Final answer
   x = 5,366.48