Finding the Fourth Proportional to 10,974.12, 16,466.58 and 5,131.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.12 : 16,466.58 = 5,131.14 : x
2. Step 2: Convert to fraction form
   10,974.12/16,466.58 = 5,131.14/x
3. Step 3: Cross multiply
   10,974.12x = 16,466.58 × 5,131.14
4. Step 4: Simplify right side
   10,974.12x = 84,492,327.30
5. Step 5: Solve for x
   x = 84,492,327.30/10,974.12
6. Step 6: Final answer
   x = 7,699.23