Finding the Fourth Proportional to 1,932.53, 2,899.94 and 821.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,932.53 : 2,899.94 = 821.89 : x
2. Step 2: Convert to fraction form
   1,932.53/2,899.94 = 821.89/x
3. Step 3: Cross multiply
   1,932.53x = 2,899.94 × 821.89
4. Step 4: Simplify right side
   1,932.53x = 2,383,420.33
5. Step 5: Solve for x
   x = 2,383,420.33/1,932.53
6. Step 6: Final answer
   x = 1,233.32