Finding the Fourth Proportional to 10,170, 14,036.22 and 5,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,170 : 14,036.22 = 5,978.25 : x
2. Step 2: Convert to fraction form
   10,170/14,036.22 = 5,978.25/x
3. Step 3: Cross multiply
   10,170x = 14,036.22 × 5,978.25
4. Step 4: Simplify right side
   10,170x = 83,912,032.22
5. Step 5: Solve for x
   x = 83,912,032.22/10,170
6. Step 6: Final answer
   x = 8,250.94