Finding the Fourth Proportional to 1,423.50, 1,964.52 and 802.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.50 : 1,964.52 = 802.54 : x
2. Step 2: Convert to fraction form
   1,423.50/1,964.52 = 802.54/x
3. Step 3: Cross multiply
   1,423.50x = 1,964.52 × 802.54
4. Step 4: Simplify right side
   1,423.50x = 1,576,605.88
5. Step 5: Solve for x
   x = 1,576,605.88/1,423.50
6. Step 6: Final answer
   x = 1,107.56