Finding the Fourth Proportional to 1,084.01, 1,496 and 821.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.01 : 1,496 = 821.57 : x
2. Step 2: Convert to fraction form
   1,084.01/1,496 = 821.57/x
3. Step 3: Cross multiply
   1,084.01x = 1,496 × 821.57
4. Step 4: Simplify right side
   1,084.01x = 1,229,068.72
5. Step 5: Solve for x
   x = 1,229,068.72/1,084.01
6. Step 6: Final answer
   x = 1,133.82