Finding the Fourth Proportional to 1,504.98, 2,256.03 and 820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,504.98 : 2,256.03 = 820.50 : x
2. Step 2: Convert to fraction form
   1,504.98/2,256.03 = 820.50/x
3. Step 3: Cross multiply
   1,504.98x = 2,256.03 × 820.50
4. Step 4: Simplify right side
   1,504.98x = 1,851,072.62
5. Step 5: Solve for x
   x = 1,851,072.62/1,504.98
6. Step 6: Final answer
   x = 1,229.96