Finding the Fourth Proportional to 2,564.75, 3,848.09 and 1,005.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.75 : 3,848.09 = 1,005.86 : x
2. Step 2: Convert to fraction form
   2,564.75/3,848.09 = 1,005.86/x
3. Step 3: Cross multiply
   2,564.75x = 3,848.09 × 1,005.86
4. Step 4: Simplify right side
   2,564.75x = 3,870,634.78
5. Step 5: Solve for x
   x = 3,870,634.78/2,564.75
6. Step 6: Final answer
   x = 1,509.17