Finding the Fourth Proportional to 3,852.86, 5,773.64 and 2,096.37

Step by Step Solution

1. Step 1: Write the proportion equation
   3,852.86 : 5,773.64 = 2,096.37 : x
2. Step 2: Convert to fraction form
   3,852.86/5,773.64 = 2,096.37/x
3. Step 3: Cross multiply
   3,852.86x = 5,773.64 × 2,096.37
4. Step 4: Simplify right side
   3,852.86x = 12,103,675.20
5. Step 5: Solve for x
   x = 12,103,675.20/3,852.86
6. Step 6: Final answer
   x = 3,141.48