Finding the Fourth Proportional to 2,576.87, 3,865.59 and 821.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,576.87 : 3,865.59 = 821.46 : x
2. Step 2: Convert to fraction form
   2,576.87/3,865.59 = 821.46/x
3. Step 3: Cross multiply
   2,576.87x = 3,865.59 × 821.46
4. Step 4: Simplify right side
   2,576.87x = 3,175,427.56
5. Step 5: Solve for x
   x = 3,175,427.56/2,576.87
6. Step 6: Final answer
   x = 1,232.28