Finding the Fourth Proportional to 10,974.60, 16,462.98 and 3,578.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.60 : 16,462.98 = 3,578.76 : x
2. Step 2: Convert to fraction form
   10,974.60/16,462.98 = 3,578.76/x
3. Step 3: Cross multiply
   10,974.60x = 16,462.98 × 3,578.76
4. Step 4: Simplify right side
   10,974.60x = 58,917,054.30
5. Step 5: Solve for x
   x = 58,917,054.30/10,974.60
6. Step 6: Final answer
   x = 5,368.49