Finding the Fourth Proportional to 5,949.86, 8,209.71 and 3,852.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,949.86 : 8,209.71 = 3,852.77 : x
2. Step 2: Convert to fraction form
   5,949.86/8,209.71 = 3,852.77/x
3. Step 3: Cross multiply
   5,949.86x = 8,209.71 × 3,852.77
4. Step 4: Simplify right side
   5,949.86x = 31,630,124.40
5. Step 5: Solve for x
   x = 31,630,124.40/5,949.86
6. Step 6: Final answer
   x = 5,316.11