Finding the Fourth Proportional to 2,549.78, 3,827.41 and 1,316.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.78 : 3,827.41 = 1,316.86 : x
2. Step 2: Convert to fraction form
   2,549.78/3,827.41 = 1,316.86/x
3. Step 3: Cross multiply
   2,549.78x = 3,827.41 × 1,316.86
4. Step 4: Simplify right side
   2,549.78x = 5,040,179.21
5. Step 5: Solve for x
   x = 5,040,179.21/2,549.78
6. Step 6: Final answer
   x = 1,976.71