Finding the Fourth Proportional to 3,780.20, 5,667.98 and 1,469

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780.20 : 5,667.98 = 1,469 : x
2. Step 2: Convert to fraction form
   3,780.20/5,667.98 = 1,469/x
3. Step 3: Cross multiply
   3,780.20x = 5,667.98 × 1,469
4. Step 4: Simplify right side
   3,780.20x = 8,326,262.62
5. Step 5: Solve for x
   x = 8,326,262.62/3,780.20
6. Step 6: Final answer
   x = 2,202.60