Finding the Fourth Proportional to 1,023.59, 1,411.79 and 802.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.59 : 1,411.79 = 802.10 : x
2. Step 2: Convert to fraction form
   1,023.59/1,411.79 = 802.10/x
3. Step 3: Cross multiply
   1,023.59x = 1,411.79 × 802.10
4. Step 4: Simplify right side
   1,023.59x = 1,132,385.69
5. Step 5: Solve for x
   x = 1,132,385.69/1,023.59
6. Step 6: Final answer
   x = 1,106.29