Finding the Fourth Proportional to 2,578.32, 3,868.04 and 823.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.32 : 3,868.04 = 823.86 : x
2. Step 2: Convert to fraction form
   2,578.32/3,868.04 = 823.86/x
3. Step 3: Cross multiply
   2,578.32x = 3,868.04 × 823.86
4. Step 4: Simplify right side
   2,578.32x = 3,186,723.43
5. Step 5: Solve for x
   x = 3,186,723.43/2,578.32
6. Step 6: Final answer
   x = 1,235.97