Finding the Fourth Proportional to 17,969.50, 24,798.15 and 10,416.37

Step by Step Solution

1. Step 1: Write the proportion equation
   17,969.50 : 24,798.15 = 10,416.37 : x
2. Step 2: Convert to fraction form
   17,969.50/24,798.15 = 10,416.37/x
3. Step 3: Cross multiply
   17,969.50x = 24,798.15 × 10,416.37
4. Step 4: Simplify right side
   17,969.50x = 258,306,705.72
5. Step 5: Solve for x
   x = 258,306,705.72/17,969.50
6. Step 6: Final answer
   x = 14,374.73