Finding the Fourth Proportional to 1,431.25, 1,975.27 and 801.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.25 : 1,975.27 = 801.78 : x
2. Step 2: Convert to fraction form
   1,431.25/1,975.27 = 801.78/x
3. Step 3: Cross multiply
   1,431.25x = 1,975.27 × 801.78
4. Step 4: Simplify right side
   1,431.25x = 1,583,735.18
5. Step 5: Solve for x
   x = 1,583,735.18/1,431.25
6. Step 6: Final answer
   x = 1,106.54