Finding the Fourth Proportional to 17,747.76, 24,494.76 and 10,578

Step by Step Solution

1. Step 1: Write the proportion equation
   17,747.76 : 24,494.76 = 10,578 : x
2. Step 2: Convert to fraction form
   17,747.76/24,494.76 = 10,578/x
3. Step 3: Cross multiply
   17,747.76x = 24,494.76 × 10,578
4. Step 4: Simplify right side
   17,747.76x = 259,105,571.28
5. Step 5: Solve for x
   x = 259,105,571.28/17,747.76
6. Step 6: Final answer
   x = 14,599.34