Finding the Fourth Proportional to 10,946, 15,105.48 and 5,978

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946 : 15,105.48 = 5,978 : x
2. Step 2: Convert to fraction form
   10,946/15,105.48 = 5,978/x
3. Step 3: Cross multiply
   10,946x = 15,105.48 × 5,978
4. Step 4: Simplify right side
   10,946x = 90,300,559.44
5. Step 5: Solve for x
   x = 90,300,559.44/10,946
6. Step 6: Final answer
   x = 8,249.64