Finding the Fourth Proportional to 1,423.58, 1,964.63 and 802.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.58 : 1,964.63 = 802.62 : x
2. Step 2: Convert to fraction form
   1,423.58/1,964.63 = 802.62/x
3. Step 3: Cross multiply
   1,423.58x = 1,964.63 × 802.62
4. Step 4: Simplify right side
   1,423.58x = 1,576,851.33
5. Step 5: Solve for x
   x = 1,576,851.33/1,423.58
6. Step 6: Final answer
   x = 1,107.67