Finding the Fourth Proportional to 17,826.23, 24,596.92 and 10,271.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,826.23 : 24,596.92 = 10,271.50 : x
2. Step 2: Convert to fraction form
   17,826.23/24,596.92 = 10,271.50/x
3. Step 3: Cross multiply
   17,826.23x = 24,596.92 × 10,271.50
4. Step 4: Simplify right side
   17,826.23x = 252,647,263.78
5. Step 5: Solve for x
   x = 252,647,263.78/17,826.23
6. Step 6: Final answer
   x = 14,172.78