Finding the Fourth Proportional to 10,974.95, 16,460.76 and 3,579.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.95 : 16,460.76 = 3,579.40 : x
2. Step 2: Convert to fraction form
   10,974.95/16,460.76 = 3,579.40/x
3. Step 3: Cross multiply
   10,974.95x = 16,460.76 × 3,579.40
4. Step 4: Simplify right side
   10,974.95x = 58,919,606.88
5. Step 5: Solve for x
   x = 58,919,606.88/10,974.95
6. Step 6: Final answer
   x = 5,368.55