Finding the Fourth Proportional to 1,431.98, 1,976.01 and 802.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.98 : 1,976.01 = 802.41 : x
2. Step 2: Convert to fraction form
   1,431.98/1,976.01 = 802.41/x
3. Step 3: Cross multiply
   1,431.98x = 1,976.01 × 802.41
4. Step 4: Simplify right side
   1,431.98x = 1,585,559.77
5. Step 5: Solve for x
   x = 1,585,559.77/1,431.98
6. Step 6: Final answer
   x = 1,107.25