Finding the Fourth Proportional to 2,564.81, 3,846.27 and 920.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.81 : 3,846.27 = 920.96 : x
2. Step 2: Convert to fraction form
   2,564.81/3,846.27 = 920.96/x
3. Step 3: Cross multiply
   2,564.81x = 3,846.27 × 920.96
4. Step 4: Simplify right side
   2,564.81x = 3,542,260.82
5. Step 5: Solve for x
   x = 3,542,260.82/2,564.81
6. Step 6: Final answer
   x = 1,381.10