Finding the Fourth Proportional to 17,665.56, 24,379.02 and 9,707.64

Step by Step Solution

1. Step 1: Write the proportion equation
   17,665.56 : 24,379.02 = 9,707.64 : x
2. Step 2: Convert to fraction form
   17,665.56/24,379.02 = 9,707.64/x
3. Step 3: Cross multiply
   17,665.56x = 24,379.02 × 9,707.64
4. Step 4: Simplify right side
   17,665.56x = 236,662,749.71
5. Step 5: Solve for x
   x = 236,662,749.71/17,665.56
6. Step 6: Final answer
   x = 13,396.84