Finding the Fourth Proportional to 2,464.52, 3,696.86 and 821.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.52 : 3,696.86 = 821.16 : x
2. Step 2: Convert to fraction form
   2,464.52/3,696.86 = 821.16/x
3. Step 3: Cross multiply
   2,464.52x = 3,696.86 × 821.16
4. Step 4: Simplify right side
   2,464.52x = 3,035,713.56
5. Step 5: Solve for x
   x = 3,035,713.56/2,464.52
6. Step 6: Final answer
   x = 1,231.77