Finding the Fourth Proportional to 1,423.62, 1,964.61 and 802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.62 : 1,964.61 = 802.50 : x
2. Step 2: Convert to fraction form
   1,423.62/1,964.61 = 802.50/x
3. Step 3: Cross multiply
   1,423.62x = 1,964.61 × 802.50
4. Step 4: Simplify right side
   1,423.62x = 1,576,599.53
5. Step 5: Solve for x
   x = 1,576,599.53/1,423.62
6. Step 6: Final answer
   x = 1,107.46