Finding the Fourth Proportional to 1,431.69, 1,975.83 and 802.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.69 : 1,975.83 = 802.27 : x
2. Step 2: Convert to fraction form
   1,431.69/1,975.83 = 802.27/x
3. Step 3: Cross multiply
   1,431.69x = 1,975.83 × 802.27
4. Step 4: Simplify right side
   1,431.69x = 1,585,135.24
5. Step 5: Solve for x
   x = 1,585,135.24/1,431.69
6. Step 6: Final answer
   x = 1,107.18