Finding the Fourth Proportional to 1,024.06, 1,410.57 and 802.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.06 : 1,410.57 = 802.62 : x
2. Step 2: Convert to fraction form
   1,024.06/1,410.57 = 802.62/x
3. Step 3: Cross multiply
   1,024.06x = 1,410.57 × 802.62
4. Step 4: Simplify right side
   1,024.06x = 1,132,151.69
5. Step 5: Solve for x
   x = 1,132,151.69/1,024.06
6. Step 6: Final answer
   x = 1,105.55