Finding the Fourth Proportional to 1,465.07, 2,021.78 and 801.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.07 : 2,021.78 = 801.91 : x
2. Step 2: Convert to fraction form
   1,465.07/2,021.78 = 801.91/x
3. Step 3: Cross multiply
   1,465.07x = 2,021.78 × 801.91
4. Step 4: Simplify right side
   1,465.07x = 1,621,271.48
5. Step 5: Solve for x
   x = 1,621,271.48/1,465.07
6. Step 6: Final answer
   x = 1,106.62