Finding the Fourth Proportional to 7,189.20, 9,920.46 and 4,002.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,189.20 : 9,920.46 = 4,002.42 : x
2. Step 2: Convert to fraction form
   7,189.20/9,920.46 = 4,002.42/x
3. Step 3: Cross multiply
   7,189.20x = 9,920.46 × 4,002.42
4. Step 4: Simplify right side
   7,189.20x = 39,705,847.51
5. Step 5: Solve for x
   x = 39,705,847.51/7,189.20
6. Step 6: Final answer
   x = 5,522.99