Finding the Fourth Proportional to 1,484.31, 2,048.31 and 821.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,484.31 : 2,048.31 = 821.14 : x
2. Step 2: Convert to fraction form
   1,484.31/2,048.31 = 821.14/x
3. Step 3: Cross multiply
   1,484.31x = 2,048.31 × 821.14
4. Step 4: Simplify right side
   1,484.31x = 1,681,949.27
5. Step 5: Solve for x
   x = 1,681,949.27/1,484.31
6. Step 6: Final answer
   x = 1,133.15