Finding the Fourth Proportional to 1,353.23, 1,867.59 and 821.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.23 : 1,867.59 = 821.99 : x
2. Step 2: Convert to fraction form
   1,353.23/1,867.59 = 821.99/x
3. Step 3: Cross multiply
   1,353.23x = 1,867.59 × 821.99
4. Step 4: Simplify right side
   1,353.23x = 1,535,130.97
5. Step 5: Solve for x
   x = 1,535,130.97/1,353.23
6. Step 6: Final answer
   x = 1,134.42