Finding the Fourth Proportional to 17,564.31, 24,231.96 and 10,838.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,564.31 : 24,231.96 = 10,838.25 : x
2. Step 2: Convert to fraction form
   17,564.31/24,231.96 = 10,838.25/x
3. Step 3: Cross multiply
   17,564.31x = 24,231.96 × 10,838.25
4. Step 4: Simplify right side
   17,564.31x = 262,632,040.47
5. Step 5: Solve for x
   x = 262,632,040.47/17,564.31
6. Step 6: Final answer
   x = 14,952.60