Finding the Fourth Proportional to 1,431.68, 1,975.82 and 802.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.68 : 1,975.82 = 802.26 : x
2. Step 2: Convert to fraction form
   1,431.68/1,975.82 = 802.26/x
3. Step 3: Cross multiply
   1,431.68x = 1,975.82 × 802.26
4. Step 4: Simplify right side
   1,431.68x = 1,585,117.34
5. Step 5: Solve for x
   x = 1,585,117.34/1,431.68
6. Step 6: Final answer
   x = 1,107.18