Finding the Fourth Proportional to 2,056.41, 2,830.91 and 1,780.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.41 : 2,830.91 = 1,780.47 : x
2. Step 2: Convert to fraction form
   2,056.41/2,830.91 = 1,780.47/x
3. Step 3: Cross multiply
   2,056.41x = 2,830.91 × 1,780.47
4. Step 4: Simplify right side
   2,056.41x = 5,040,341.43
5. Step 5: Solve for x
   x = 5,040,341.43/2,056.41
6. Step 6: Final answer
   x = 2,451.04