Finding the Fourth Proportional to 17,538.98, 24,199.70 and 10,824.89

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538.98 : 24,199.70 = 10,824.89 : x
2. Step 2: Convert to fraction form
   17,538.98/24,199.70 = 10,824.89/x
3. Step 3: Cross multiply
   17,538.98x = 24,199.70 × 10,824.89
4. Step 4: Simplify right side
   17,538.98x = 261,958,915.41
5. Step 5: Solve for x
   x = 261,958,915.41/17,538.98
6. Step 6: Final answer
   x = 14,935.82