Finding the Fourth Proportional to 1,483.80, 2,047.46 and 820.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,483.80 : 2,047.46 = 820.56 : x
2. Step 2: Convert to fraction form
   1,483.80/2,047.46 = 820.56/x
3. Step 3: Cross multiply
   1,483.80x = 2,047.46 × 820.56
4. Step 4: Simplify right side
   1,483.80x = 1,680,063.78
5. Step 5: Solve for x
   x = 1,680,063.78/1,483.80
6. Step 6: Final answer
   x = 1,132.27