Finding the Fourth Proportional to 1,483.65, 2,047.42 and 820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,483.65 : 2,047.42 = 820.50 : x
2. Step 2: Convert to fraction form
   1,483.65/2,047.42 = 820.50/x
3. Step 3: Cross multiply
   1,483.65x = 2,047.42 × 820.50
4. Step 4: Simplify right side
   1,483.65x = 1,679,901.46
5. Step 5: Solve for x
   x = 1,679,901.46/1,483.65
6. Step 6: Final answer
   x = 1,132.28