Finding the Fourth Proportional to 1,431.65, 1,975.65 and 802.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.65 : 1,975.65 = 802.18 : x
2. Step 2: Convert to fraction form
   1,431.65/1,975.65 = 802.18/x
3. Step 3: Cross multiply
   1,431.65x = 1,975.65 × 802.18
4. Step 4: Simplify right side
   1,431.65x = 1,584,820.91
5. Step 5: Solve for x
   x = 1,584,820.91/1,431.65
6. Step 6: Final answer
   x = 1,106.99