Finding the Fourth Proportional to 1,483.17, 2,046.81 and 820.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,483.17 : 2,046.81 = 820.02 : x
2. Step 2: Convert to fraction form
   1,483.17/2,046.81 = 820.02/x
3. Step 3: Cross multiply
   1,483.17x = 2,046.81 × 820.02
4. Step 4: Simplify right side
   1,483.17x = 1,678,425.14
5. Step 5: Solve for x
   x = 1,678,425.14/1,483.17
6. Step 6: Final answer
   x = 1,131.65