Finding the Fourth Proportional to 17,659.27, 24,369.86 and 10,585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   17,659.27 : 24,369.86 = 10,585.69 : x
2. Step 2: Convert to fraction form
   17,659.27/24,369.86 = 10,585.69/x
3. Step 3: Cross multiply
   17,659.27x = 24,369.86 × 10,585.69
4. Step 4: Simplify right side
   17,659.27x = 257,971,748.84
5. Step 5: Solve for x
   x = 257,971,748.84/17,659.27
6. Step 6: Final answer
   x = 14,608.29