Finding the Fourth Proportional to 2,009.62, 3,016.56 and 1,780

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.62 : 3,016.56 = 1,780 : x
2. Step 2: Convert to fraction form
   2,009.62/3,016.56 = 1,780/x
3. Step 3: Cross multiply
   2,009.62x = 3,016.56 × 1,780
4. Step 4: Simplify right side
   2,009.62x = 5,369,476.80
5. Step 5: Solve for x
   x = 5,369,476.80/2,009.62
6. Step 6: Final answer
   x = 2,671.89