Finding the Fourth Proportional to 1,431.98, 1,976.20 and 802.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.98 : 1,976.20 = 802.52 : x
2. Step 2: Convert to fraction form
   1,431.98/1,976.20 = 802.52/x
3. Step 3: Cross multiply
   1,431.98x = 1,976.20 × 802.52
4. Step 4: Simplify right side
   1,431.98x = 1,585,940.02
5. Step 5: Solve for x
   x = 1,585,940.02/1,431.98
6. Step 6: Final answer
   x = 1,107.52