Finding the Fourth Proportional to 17,806.52, 24,566.94 and 10,638.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,806.52 : 24,566.94 = 10,638.63 : x
2. Step 2: Convert to fraction form
   17,806.52/24,566.94 = 10,638.63/x
3. Step 3: Cross multiply
   17,806.52x = 24,566.94 × 10,638.63
4. Step 4: Simplify right side
   17,806.52x = 261,358,584.89
5. Step 5: Solve for x
   x = 261,358,584.89/17,806.52
6. Step 6: Final answer
   x = 14,677.69