Finding the Fourth Proportional to 2,770.78, 3,823.77 and 1,511.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,770.78 : 3,823.77 = 1,511.86 : x
2. Step 2: Convert to fraction form
   2,770.78/3,823.77 = 1,511.86/x
3. Step 3: Cross multiply
   2,770.78x = 3,823.77 × 1,511.86
4. Step 4: Simplify right side
   2,770.78x = 5,781,004.91
5. Step 5: Solve for x
   x = 5,781,004.91/2,770.78
6. Step 6: Final answer
   x = 2,086.42