Finding the Fourth Proportional to 4,196.86, 5,793.54 and 3,077.80

Step by Step Solution

1. Step 1: Write the proportion equation
   4,196.86 : 5,793.54 = 3,077.80 : x
2. Step 2: Convert to fraction form
   4,196.86/5,793.54 = 3,077.80/x
3. Step 3: Cross multiply
   4,196.86x = 5,793.54 × 3,077.80
4. Step 4: Simplify right side
   4,196.86x = 17,831,357.41
5. Step 5: Solve for x
   x = 17,831,357.41/4,196.86
6. Step 6: Final answer
   x = 4,248.74