Finding the Fourth Proportional to 1,065.10, 1,595.60 and 820.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.10 : 1,595.60 = 820.43 : x
2. Step 2: Convert to fraction form
   1,065.10/1,595.60 = 820.43/x
3. Step 3: Cross multiply
   1,065.10x = 1,595.60 × 820.43
4. Step 4: Simplify right side
   1,065.10x = 1,309,075.09
5. Step 5: Solve for x
   x = 1,309,075.09/1,065.10
6. Step 6: Final answer
   x = 1,229.06