Finding the Fourth Proportional to 10,289.97, 14,200.20 and 5,574.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.97 : 14,200.20 = 5,574.25 : x
2. Step 2: Convert to fraction form
   10,289.97/14,200.20 = 5,574.25/x
3. Step 3: Cross multiply
   10,289.97x = 14,200.20 × 5,574.25
4. Step 4: Simplify right side
   10,289.97x = 79,155,482.60
5. Step 5: Solve for x
   x = 79,155,482.60/10,289.97
6. Step 6: Final answer
   x = 7,692.49