Finding the Fourth Proportional to 17,581.75, 24,256.81 and 10,022.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,581.75 : 24,256.81 = 10,022.63 : x
2. Step 2: Convert to fraction form
   17,581.75/24,256.81 = 10,022.63/x
3. Step 3: Cross multiply
   17,581.75x = 24,256.81 × 10,022.63
4. Step 4: Simplify right side
   17,581.75x = 243,117,031.11
5. Step 5: Solve for x
   x = 243,117,031.11/17,581.75
6. Step 6: Final answer
   x = 13,827.81