Finding the Fourth Proportional to 1,351.47, 1,864.98 and 820.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,351.47 : 1,864.98 = 820.42 : x
2. Step 2: Convert to fraction form
   1,351.47/1,864.98 = 820.42/x
3. Step 3: Cross multiply
   1,351.47x = 1,864.98 × 820.42
4. Step 4: Simplify right side
   1,351.47x = 1,530,066.89
5. Step 5: Solve for x
   x = 1,530,066.89/1,351.47
6. Step 6: Final answer
   x = 1,132.15