Finding the Fourth Proportional to 17,824.72, 26,738.46 and 5,978.56

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824.72 : 26,738.46 = 5,978.56 : x
2. Step 2: Convert to fraction form
   17,824.72/26,738.46 = 5,978.56/x
3. Step 3: Cross multiply
   17,824.72x = 26,738.46 × 5,978.56
4. Step 4: Simplify right side
   17,824.72x = 159,857,487.42
5. Step 5: Solve for x
   x = 159,857,487.42/17,824.72
6. Step 6: Final answer
   x = 8,968.30