Finding the Fourth Proportional to 1,431.82, 1,976.07 and 802.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.82 : 1,976.07 = 802.45 : x
2. Step 2: Convert to fraction form
   1,431.82/1,976.07 = 802.45/x
3. Step 3: Cross multiply
   1,431.82x = 1,976.07 × 802.45
4. Step 4: Simplify right side
   1,431.82x = 1,585,697.37
5. Step 5: Solve for x
   x = 1,585,697.37/1,431.82
6. Step 6: Final answer
   x = 1,107.47