Finding the Fourth Proportional to 1,778.41, 2,649.83 and 1,584.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,778.41 : 2,649.83 = 1,584.42 : x
2. Step 2: Convert to fraction form
   1,778.41/2,649.83 = 1,584.42/x
3. Step 3: Cross multiply
   1,778.41x = 2,649.83 × 1,584.42
4. Step 4: Simplify right side
   1,778.41x = 4,198,443.65
5. Step 5: Solve for x
   x = 4,198,443.65/1,778.41
6. Step 6: Final answer
   x = 2,360.78