Finding the Fourth Proportional to 4,196.81, 5,791.88 and 2,778.05

Step by Step Solution

1. Step 1: Write the proportion equation
   4,196.81 : 5,791.88 = 2,778.05 : x
2. Step 2: Convert to fraction form
   4,196.81/5,791.88 = 2,778.05/x
3. Step 3: Cross multiply
   4,196.81x = 5,791.88 × 2,778.05
4. Step 4: Simplify right side
   4,196.81x = 16,090,160.90
5. Step 5: Solve for x
   x = 16,090,160.90/4,196.81
6. Step 6: Final answer
   x = 3,833.90