Finding the Fourth Proportional to 2,465.48, 3,695.70 and 820.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.48 : 3,695.70 = 820.52 : x
2. Step 2: Convert to fraction form
   2,465.48/3,695.70 = 820.52/x
3. Step 3: Cross multiply
   2,465.48x = 3,695.70 × 820.52
4. Step 4: Simplify right side
   2,465.48x = 3,032,395.76
5. Step 5: Solve for x
   x = 3,032,395.76/2,465.48
6. Step 6: Final answer
   x = 1,229.94