Finding the Fourth Proportional to 2,465.05, 3,696.34 and 821.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.05 : 3,696.34 = 821.02 : x
2. Step 2: Convert to fraction form
   2,465.05/3,696.34 = 821.02/x
3. Step 3: Cross multiply
   2,465.05x = 3,696.34 × 821.02
4. Step 4: Simplify right side
   2,465.05x = 3,034,757.77
5. Step 5: Solve for x
   x = 3,034,757.77/2,465.05
6. Step 6: Final answer
   x = 1,231.12