Finding the Fourth Proportional to 25,978.96, 38,964.56 and 8,446.24

Step by Step Solution

1. Step 1: Write the proportion equation
   25,978.96 : 38,964.56 = 8,446.24 : x
2. Step 2: Convert to fraction form
   25,978.96/38,964.56 = 8,446.24/x
3. Step 3: Cross multiply
   25,978.96x = 38,964.56 × 8,446.24
4. Step 4: Simplify right side
   25,978.96x = 329,104,025.25
5. Step 5: Solve for x
   x = 329,104,025.25/25,978.96
6. Step 6: Final answer
   x = 12,668.10