Finding the Fourth Proportional to 17,541.81, 24,207.30 and 9,584.07

Step by Step Solution

1. Step 1: Write the proportion equation
   17,541.81 : 24,207.30 = 9,584.07 : x
2. Step 2: Convert to fraction form
   17,541.81/24,207.30 = 9,584.07/x
3. Step 3: Cross multiply
   17,541.81x = 24,207.30 × 9,584.07
4. Step 4: Simplify right side
   17,541.81x = 232,004,457.71
5. Step 5: Solve for x
   x = 232,004,457.71/17,541.81
6. Step 6: Final answer
   x = 13,225.80