Finding the Fourth Proportional to 17,665.17, 24,378.02 and 9,707.55

Step by Step Solution

1. Step 1: Write the proportion equation
   17,665.17 : 24,378.02 = 9,707.55 : x
2. Step 2: Convert to fraction form
   17,665.17/24,378.02 = 9,707.55/x
3. Step 3: Cross multiply
   17,665.17x = 24,378.02 × 9,707.55
4. Step 4: Simplify right side
   17,665.17x = 236,650,799.51
5. Step 5: Solve for x
   x = 236,650,799.51/17,665.17
6. Step 6: Final answer
   x = 13,396.46