Finding the Fourth Proportional to 1,333.43, 1,839.78 and 802.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,333.43 : 1,839.78 = 802.20 : x
2. Step 2: Convert to fraction form
   1,333.43/1,839.78 = 802.20/x
3. Step 3: Cross multiply
   1,333.43x = 1,839.78 × 802.20
4. Step 4: Simplify right side
   1,333.43x = 1,475,878.42
5. Step 5: Solve for x
   x = 1,475,878.42/1,333.43
6. Step 6: Final answer
   x = 1,106.83