Finding the Fourth Proportional to 1,431.94, 1,976.17 and 802.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.94 : 1,976.17 = 802.52 : x
2. Step 2: Convert to fraction form
   1,431.94/1,976.17 = 802.52/x
3. Step 3: Cross multiply
   1,431.94x = 1,976.17 × 802.52
4. Step 4: Simplify right side
   1,431.94x = 1,585,915.95
5. Step 5: Solve for x
   x = 1,585,915.95/1,431.94
6. Step 6: Final answer
   x = 1,107.53