Finding the Fourth Proportional to 1,351.98, 1,865.14 and 820.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,351.98 : 1,865.14 = 820.89 : x
2. Step 2: Convert to fraction form
   1,351.98/1,865.14 = 820.89/x
3. Step 3: Cross multiply
   1,351.98x = 1,865.14 × 820.89
4. Step 4: Simplify right side
   1,351.98x = 1,531,074.77
5. Step 5: Solve for x
   x = 1,531,074.77/1,351.98
6. Step 6: Final answer
   x = 1,132.47