Finding the Fourth Proportional to 5,855.30, 8,077.86 and 3,839.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,855.30 : 8,077.86 = 3,839.20 : x
2. Step 2: Convert to fraction form
   5,855.30/8,077.86 = 3,839.20/x
3. Step 3: Cross multiply
   5,855.30x = 8,077.86 × 3,839.20
4. Step 4: Simplify right side
   5,855.30x = 31,012,520.11
5. Step 5: Solve for x
   x = 31,012,520.11/5,855.30
6. Step 6: Final answer
   x = 5,296.49