Finding the Fourth Proportional to 10,289.69, 14,199.87 and 5,574.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.69 : 14,199.87 = 5,574.07 : x
2. Step 2: Convert to fraction form
   10,289.69/14,199.87 = 5,574.07/x
3. Step 3: Cross multiply
   10,289.69x = 14,199.87 × 5,574.07
4. Step 4: Simplify right side
   10,289.69x = 79,151,069.37
5. Step 5: Solve for x
   x = 79,151,069.37/10,289.69
6. Step 6: Final answer
   x = 7,692.27