Finding the Fourth Proportional to 3,820.78, 5,273.61 and 2,565.37

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.78 : 5,273.61 = 2,565.37 : x
2. Step 2: Convert to fraction form
   3,820.78/5,273.61 = 2,565.37/x
3. Step 3: Cross multiply
   3,820.78x = 5,273.61 × 2,565.37
4. Step 4: Simplify right side
   3,820.78x = 13,528,760.89
5. Step 5: Solve for x
   x = 13,528,760.89/3,820.78
6. Step 6: Final answer
   x = 3,540.84