Finding the Fourth Proportional to 1,642.49, 2,461.53 and 820.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.49 : 2,461.53 = 820.52 : x
2. Step 2: Convert to fraction form
   1,642.49/2,461.53 = 820.52/x
3. Step 3: Cross multiply
   1,642.49x = 2,461.53 × 820.52
4. Step 4: Simplify right side
   1,642.49x = 2,019,734.60
5. Step 5: Solve for x
   x = 2,019,734.60/1,642.49
6. Step 6: Final answer
   x = 1,229.68