Finding the Fourth Proportional to 2,564.58, 3,846.45 and 920.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.58 : 3,846.45 = 920.82 : x
2. Step 2: Convert to fraction form
   2,564.58/3,846.45 = 920.82/x
3. Step 3: Cross multiply
   2,564.58x = 3,846.45 × 920.82
4. Step 4: Simplify right side
   2,564.58x = 3,541,888.09
5. Step 5: Solve for x
   x = 3,541,888.09/2,564.58
6. Step 6: Final answer
   x = 1,381.08