Finding the Fourth Proportional to 1,431.98, 1,976.13 and 802.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.98 : 1,976.13 = 802.53 : x
2. Step 2: Convert to fraction form
   1,431.98/1,976.13 = 802.53/x
3. Step 3: Cross multiply
   1,431.98x = 1,976.13 × 802.53
4. Step 4: Simplify right side
   1,431.98x = 1,585,903.61
5. Step 5: Solve for x
   x = 1,585,903.61/1,431.98
6. Step 6: Final answer
   x = 1,107.49