Finding the Fourth Proportional to 3,846.16, 5,764.78 and 2,089.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,846.16 : 5,764.78 = 2,089.81 : x
2. Step 2: Convert to fraction form
   3,846.16/5,764.78 = 2,089.81/x
3. Step 3: Cross multiply
   3,846.16x = 5,764.78 × 2,089.81
4. Step 4: Simplify right side
   3,846.16x = 12,047,294.89
5. Step 5: Solve for x
   x = 12,047,294.89/3,846.16
6. Step 6: Final answer
   x = 3,132.29