Finding the Fourth Proportional to 1,465.27, 2,021.98 and 802.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.27 : 2,021.98 = 802.12 : x
2. Step 2: Convert to fraction form
   1,465.27/2,021.98 = 802.12/x
3. Step 3: Cross multiply
   1,465.27x = 2,021.98 × 802.12
4. Step 4: Simplify right side
   1,465.27x = 1,621,870.60
5. Step 5: Solve for x
   x = 1,621,870.60/1,465.27
6. Step 6: Final answer
   x = 1,106.87