Finding the Fourth Proportional to 5,852.82, 8,076.78 and 3,200.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,852.82 : 8,076.78 = 3,200.22 : x
2. Step 2: Convert to fraction form
   5,852.82/8,076.78 = 3,200.22/x
3. Step 3: Cross multiply
   5,852.82x = 8,076.78 × 3,200.22
4. Step 4: Simplify right side
   5,852.82x = 25,847,472.89
5. Step 5: Solve for x
   x = 25,847,472.89/5,852.82
6. Step 6: Final answer
   x = 4,416.24