Finding the Fourth Proportional to 9,198.69, 12,693.31 and 5,164.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,198.69 : 12,693.31 = 5,164.59 : x
2. Step 2: Convert to fraction form
   9,198.69/12,693.31 = 5,164.59/x
3. Step 3: Cross multiply
   9,198.69x = 12,693.31 × 5,164.59
4. Step 4: Simplify right side
   9,198.69x = 65,555,741.89
5. Step 5: Solve for x
   x = 65,555,741.89/9,198.69
6. Step 6: Final answer
   x = 7,126.64