Finding the Fourth Proportional to 10,219.69, 14,103.05 and 5,744.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219.69 : 14,103.05 = 5,744.20 : x
2. Step 2: Convert to fraction form
   10,219.69/14,103.05 = 5,744.20/x
3. Step 3: Cross multiply
   10,219.69x = 14,103.05 × 5,744.20
4. Step 4: Simplify right side
   10,219.69x = 81,010,702.27
5. Step 5: Solve for x
   x = 81,010,702.27/10,219.69
6. Step 6: Final answer
   x = 7,926.92