Finding the Fourth Proportional to 2,575.94, 3,864.56 and 820.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.94 : 3,864.56 = 820.98 : x
2. Step 2: Convert to fraction form
   2,575.94/3,864.56 = 820.98/x
3. Step 3: Cross multiply
   2,575.94x = 3,864.56 × 820.98
4. Step 4: Simplify right side
   2,575.94x = 3,172,722.36
5. Step 5: Solve for x
   x = 3,172,722.36/2,575.94
6. Step 6: Final answer
   x = 1,231.68