Finding the Fourth Proportional to 1,007.92, 1,389.83 and 821.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.92 : 1,389.83 = 821.08 : x
2. Step 2: Convert to fraction form
   1,007.92/1,389.83 = 821.08/x
3. Step 3: Cross multiply
   1,007.92x = 1,389.83 × 821.08
4. Step 4: Simplify right side
   1,007.92x = 1,141,159.25
5. Step 5: Solve for x
   x = 1,141,159.25/1,007.92
6. Step 6: Final answer
   x = 1,132.19