Finding the Fourth Proportional to 10,974.12, 16,461.71 and 3,578.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.12 : 16,461.71 = 3,578.57 : x
2. Step 2: Convert to fraction form
   10,974.12/16,461.71 = 3,578.57/x
3. Step 3: Cross multiply
   10,974.12x = 16,461.71 × 3,578.57
4. Step 4: Simplify right side
   10,974.12x = 58,909,381.55
5. Step 5: Solve for x
   x = 58,909,381.55/10,974.12
6. Step 6: Final answer
   x = 5,368.03