Finding the Fourth Proportional to 1,483.94, 2,047.78 and 820.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,483.94 : 2,047.78 = 820.78 : x
2. Step 2: Convert to fraction form
   1,483.94/2,047.78 = 820.78/x
3. Step 3: Cross multiply
   1,483.94x = 2,047.78 × 820.78
4. Step 4: Simplify right side
   1,483.94x = 1,680,772.77
5. Step 5: Solve for x
   x = 1,680,772.77/1,483.94
6. Step 6: Final answer
   x = 1,132.64