Finding the Fourth Proportional to 1,353.00, 1,866.59 and 821.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.00 : 1,866.59 = 821.68 : x
2. Step 2: Convert to fraction form
   1,353.00/1,866.59 = 821.68/x
3. Step 3: Cross multiply
   1,353.00x = 1,866.59 × 821.68
4. Step 4: Simplify right side
   1,353.00x = 1,533,739.67
5. Step 5: Solve for x
   x = 1,533,739.67/1,353.00
6. Step 6: Final answer
   x = 1,133.59