Finding the Fourth Proportional to 1,483.89, 2,047.71 and 820.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,483.89 : 2,047.71 = 820.77 : x
2. Step 2: Convert to fraction form
   1,483.89/2,047.71 = 820.77/x
3. Step 3: Cross multiply
   1,483.89x = 2,047.71 × 820.77
4. Step 4: Simplify right side
   1,483.89x = 1,680,698.94
5. Step 5: Solve for x
   x = 1,680,698.94/1,483.89
6. Step 6: Final answer
   x = 1,132.63