Finding the Fourth Proportional to 5,777.86, 7,974.34 and 3,794.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,777.86 : 7,974.34 = 3,794.16 : x
2. Step 2: Convert to fraction form
   5,777.86/7,974.34 = 3,794.16/x
3. Step 3: Cross multiply
   5,777.86x = 7,974.34 × 3,794.16
4. Step 4: Simplify right side
   5,777.86x = 30,255,921.85
5. Step 5: Solve for x
   x = 30,255,921.85/5,777.86
6. Step 6: Final answer
   x = 5,236.53