Finding the Fourth Proportional to 1,513.22, 2,267.72 and 820.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.22 : 2,267.72 = 820.27 : x
2. Step 2: Convert to fraction form
   1,513.22/2,267.72 = 820.27/x
3. Step 3: Cross multiply
   1,513.22x = 2,267.72 × 820.27
4. Step 4: Simplify right side
   1,513.22x = 1,860,127.24
5. Step 5: Solve for x
   x = 1,860,127.24/1,513.22
6. Step 6: Final answer
   x = 1,229.25