Finding the Fourth Proportional to 9,178.62, 12,664.41 and 5,198.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178.62 : 12,664.41 = 5,198.82 : x
2. Step 2: Convert to fraction form
   9,178.62/12,664.41 = 5,198.82/x
3. Step 3: Cross multiply
   9,178.62x = 12,664.41 × 5,198.82
4. Step 4: Simplify right side
   9,178.62x = 65,839,988.00
5. Step 5: Solve for x
   x = 65,839,988.00/9,178.62
6. Step 6: Final answer
   x = 7,173.19