Finding the Fourth Proportional to 2,776.57, 3,830.15 and 1,780.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,776.57 : 3,830.15 = 1,780.74 : x
2. Step 2: Convert to fraction form
   2,776.57/3,830.15 = 1,780.74/x
3. Step 3: Cross multiply
   2,776.57x = 3,830.15 × 1,780.74
4. Step 4: Simplify right side
   2,776.57x = 6,820,501.31
5. Step 5: Solve for x
   x = 6,820,501.31/2,776.57
6. Step 6: Final answer
   x = 2,456.45