Finding the Fourth Proportional to 1,423.72, 1,964.71 and 802.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.72 : 1,964.71 = 802.72 : x
2. Step 2: Convert to fraction form
   1,423.72/1,964.71 = 802.72/x
3. Step 3: Cross multiply
   1,423.72x = 1,964.71 × 802.72
4. Step 4: Simplify right side
   1,423.72x = 1,577,112.01
5. Step 5: Solve for x
   x = 1,577,112.01/1,423.72
6. Step 6: Final answer
   x = 1,107.74