Finding the Fourth Proportional to 1,465.77, 2,022.78 and 802.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.77 : 2,022.78 = 802.61 : x
2. Step 2: Convert to fraction form
   1,465.77/2,022.78 = 802.61/x
3. Step 3: Cross multiply
   1,465.77x = 2,022.78 × 802.61
4. Step 4: Simplify right side
   1,465.77x = 1,623,503.94
5. Step 5: Solve for x
   x = 1,623,503.94/1,465.77
6. Step 6: Final answer
   x = 1,107.61