Finding the Fourth Proportional to 1,344.64, 1,855.83 and 821.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.64 : 1,855.83 = 821.02 : x
2. Step 2: Convert to fraction form
   1,344.64/1,855.83 = 821.02/x
3. Step 3: Cross multiply
   1,344.64x = 1,855.83 × 821.02
4. Step 4: Simplify right side
   1,344.64x = 1,523,673.55
5. Step 5: Solve for x
   x = 1,523,673.55/1,344.64
6. Step 6: Final answer
   x = 1,133.15