Finding the Fourth Proportional to 5,223.86, 7,835.82 and 2,105.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,223.86 : 7,835.82 = 2,105.30 : x
2. Step 2: Convert to fraction form
   5,223.86/7,835.82 = 2,105.30/x
3. Step 3: Cross multiply
   5,223.86x = 7,835.82 × 2,105.30
4. Step 4: Simplify right side
   5,223.86x = 16,496,751.85
5. Step 5: Solve for x
   x = 16,496,751.85/5,223.86
6. Step 6: Final answer
   x = 3,157.96