Finding the Fourth Proportional to 1,465.14, 2,021.86 and 801.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.14 : 2,021.86 = 801.96 : x
2. Step 2: Convert to fraction form
   1,465.14/2,021.86 = 801.96/x
3. Step 3: Cross multiply
   1,465.14x = 2,021.86 × 801.96
4. Step 4: Simplify right side
   1,465.14x = 1,621,444.27
5. Step 5: Solve for x
   x = 1,621,444.27/1,465.14
6. Step 6: Final answer
   x = 1,106.68