Finding the Fourth Proportional to 17,826, 24,599.50 and 10,271.88

Step by Step Solution

1. Step 1: Write the proportion equation
   17,826 : 24,599.50 = 10,271.88 : x
2. Step 2: Convert to fraction form
   17,826/24,599.50 = 10,271.88/x
3. Step 3: Cross multiply
   17,826x = 24,599.50 × 10,271.88
4. Step 4: Simplify right side
   17,826x = 252,683,112.06
5. Step 5: Solve for x
   x = 252,683,112.06/17,826
6. Step 6: Final answer
   x = 14,174.98