Finding the Fourth Proportional to 1,483.84, 2,047.56 and 820.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,483.84 : 2,047.56 = 820.66 : x
2. Step 2: Convert to fraction form
   1,483.84/2,047.56 = 820.66/x
3. Step 3: Cross multiply
   1,483.84x = 2,047.56 × 820.66
4. Step 4: Simplify right side
   1,483.84x = 1,680,350.59
5. Step 5: Solve for x
   x = 1,680,350.59/1,483.84
6. Step 6: Final answer
   x = 1,132.43