Finding the Fourth Proportional to 17,764.17, 24,513.72 and 10,205.19

Step by Step Solution

1. Step 1: Write the proportion equation
   17,764.17 : 24,513.72 = 10,205.19 : x
2. Step 2: Convert to fraction form
   17,764.17/24,513.72 = 10,205.19/x
3. Step 3: Cross multiply
   17,764.17x = 24,513.72 × 10,205.19
4. Step 4: Simplify right side
   17,764.17x = 250,167,170.21
5. Step 5: Solve for x
   x = 250,167,170.21/17,764.17
6. Step 6: Final answer
   x = 14,082.68