Finding the Fourth Proportional to 1,431.63, 1,975.65 and 802.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.63 : 1,975.65 = 802.17 : x
2. Step 2: Convert to fraction form
   1,431.63/1,975.65 = 802.17/x
3. Step 3: Cross multiply
   1,431.63x = 1,975.65 × 802.17
4. Step 4: Simplify right side
   1,431.63x = 1,584,807.16
5. Step 5: Solve for x
   x = 1,584,807.16/1,431.63
6. Step 6: Final answer
   x = 1,106.99