Finding the Fourth Proportional to 1,483.95, 2,047.82 and 820.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,483.95 : 2,047.82 = 820.78 : x
2. Step 2: Convert to fraction form
   1,483.95/2,047.82 = 820.78/x
3. Step 3: Cross multiply
   1,483.95x = 2,047.82 × 820.78
4. Step 4: Simplify right side
   1,483.95x = 1,680,809.70
5. Step 5: Solve for x
   x = 1,680,809.70/1,483.95
6. Step 6: Final answer
   x = 1,132.66