Finding the Fourth Proportional to 9,182.96, 12,672 and 5,204.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.96 : 12,672 = 5,204.12 : x
2. Step 2: Convert to fraction form
   9,182.96/12,672 = 5,204.12/x
3. Step 3: Cross multiply
   9,182.96x = 12,672 × 5,204.12
4. Step 4: Simplify right side
   9,182.96x = 65,946,608.64
5. Step 5: Solve for x
   x = 65,946,608.64/9,182.96
6. Step 6: Final answer
   x = 7,181.41