Finding the Fourth Proportional to 3,846.75, 5,764.56 and 2,090.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,846.75 : 5,764.56 = 2,090.27 : x
2. Step 2: Convert to fraction form
   3,846.75/5,764.56 = 2,090.27/x
3. Step 3: Cross multiply
   3,846.75x = 5,764.56 × 2,090.27
4. Step 4: Simplify right side
   3,846.75x = 12,049,486.83
5. Step 5: Solve for x
   x = 12,049,486.83/3,846.75
6. Step 6: Final answer
   x = 3,132.38