Finding the Fourth Proportional to 10,290.20, 14,200.38 and 5,574.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.20 : 14,200.38 = 5,574.47 : x
2. Step 2: Convert to fraction form
   10,290.20/14,200.38 = 5,574.47/x
3. Step 3: Cross multiply
   10,290.20x = 14,200.38 × 5,574.47
4. Step 4: Simplify right side
   10,290.20x = 79,159,521.30
5. Step 5: Solve for x
   x = 79,159,521.30/10,290.20
6. Step 6: Final answer
   x = 7,692.71