Finding the Fourth Proportional to 2,776.96, 3,828.72 and 1,780.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,776.96 : 3,828.72 = 1,780.48 : x
2. Step 2: Convert to fraction form
   2,776.96/3,828.72 = 1,780.48/x
3. Step 3: Cross multiply
   2,776.96x = 3,828.72 × 1,780.48
4. Step 4: Simplify right side
   2,776.96x = 6,816,959.39
5. Step 5: Solve for x
   x = 6,816,959.39/2,776.96
6. Step 6: Final answer
   x = 2,454.83