Finding the Fourth Proportional to 1,465.59, 2,022.52 and 802.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.59 : 2,022.52 = 802.45 : x
2. Step 2: Convert to fraction form
   1,465.59/2,022.52 = 802.45/x
3. Step 3: Cross multiply
   1,465.59x = 2,022.52 × 802.45
4. Step 4: Simplify right side
   1,465.59x = 1,622,971.78
5. Step 5: Solve for x
   x = 1,622,971.78/1,465.59
6. Step 6: Final answer
   x = 1,107.38