Finding the Fourth Proportional to 2,565.78, 3,846.83 and 1,523.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.78 : 3,846.83 = 1,523.31 : x
2. Step 2: Convert to fraction form
   2,565.78/3,846.83 = 1,523.31/x
3. Step 3: Cross multiply
   2,565.78x = 3,846.83 × 1,523.31
4. Step 4: Simplify right side
   2,565.78x = 5,859,892.57
5. Step 5: Solve for x
   x = 5,859,892.57/2,565.78
6. Step 6: Final answer
   x = 2,283.87