Finding the Fourth Proportional to 1,466.02, 2,023.10 and 802.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.02 : 2,023.10 = 802.89 : x
2. Step 2: Convert to fraction form
   1,466.02/2,023.10 = 802.89/x
3. Step 3: Cross multiply
   1,466.02x = 2,023.10 × 802.89
4. Step 4: Simplify right side
   1,466.02x = 1,624,330.86
5. Step 5: Solve for x
   x = 1,624,330.86/1,466.02
6. Step 6: Final answer
   x = 1,107.99