Finding the Fourth Proportional to 2,564.01, 3,846.05 and 920.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.01 : 3,846.05 = 920.52 : x
2. Step 2: Convert to fraction form
   2,564.01/3,846.05 = 920.52/x
3. Step 3: Cross multiply
   2,564.01x = 3,846.05 × 920.52
4. Step 4: Simplify right side
   2,564.01x = 3,540,361.34
5. Step 5: Solve for x
   x = 3,540,361.34/2,564.01
6. Step 6: Final answer
   x = 1,380.79