Finding the Fourth Proportional to 9,182.80, 12,667.60 and 5,997.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.80 : 12,667.60 = 5,997.97 : x
2. Step 2: Convert to fraction form
   9,182.80/12,667.60 = 5,997.97/x
3. Step 3: Cross multiply
   9,182.80x = 12,667.60 × 5,997.97
4. Step 4: Simplify right side
   9,182.80x = 75,979,819.98
5. Step 5: Solve for x
   x = 75,979,819.98/9,182.80
6. Step 6: Final answer
   x = 8,274.14