Finding the Fourth Proportional to 2,465.55, 3,697.09 and 821.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.55 : 3,697.09 = 821.52 : x
2. Step 2: Convert to fraction form
   2,465.55/3,697.09 = 821.52/x
3. Step 3: Cross multiply
   2,465.55x = 3,697.09 × 821.52
4. Step 4: Simplify right side
   2,465.55x = 3,037,229.27
5. Step 5: Solve for x
   x = 3,037,229.27/2,465.55
6. Step 6: Final answer
   x = 1,231.87