Finding the Fourth Proportional to 17,767.78, 24,523.05 and 10,219.30

Step by Step Solution

1. Step 1: Write the proportion equation
   17,767.78 : 24,523.05 = 10,219.30 : x
2. Step 2: Convert to fraction form
   17,767.78/24,523.05 = 10,219.30/x
3. Step 3: Cross multiply
   17,767.78x = 24,523.05 × 10,219.30
4. Step 4: Simplify right side
   17,767.78x = 250,608,404.87
5. Step 5: Solve for x
   x = 250,608,404.87/17,767.78
6. Step 6: Final answer
   x = 14,104.65