Finding the Fourth Proportional to 10,194.42, 15,286.68 and 5,978.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,194.42 : 15,286.68 = 5,978.82 : x
2. Step 2: Convert to fraction form
   10,194.42/15,286.68 = 5,978.82/x
3. Step 3: Cross multiply
   10,194.42x = 15,286.68 × 5,978.82
4. Step 4: Simplify right side
   10,194.42x = 91,396,308.12
5. Step 5: Solve for x
   x = 91,396,308.12/10,194.42
6. Step 6: Final answer
   x = 8,965.33