Finding the Fourth Proportional to 2,564.56, 3,846.49 and 920.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.56 : 3,846.49 = 920.87 : x
2. Step 2: Convert to fraction form
   2,564.56/3,846.49 = 920.87/x
3. Step 3: Cross multiply
   2,564.56x = 3,846.49 × 920.87
4. Step 4: Simplify right side
   2,564.56x = 3,542,117.25
5. Step 5: Solve for x
   x = 3,542,117.25/2,564.56
6. Step 6: Final answer
   x = 1,381.18