Finding the Fourth Proportional to 1,431.47, 1,975.25 and 801.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.47 : 1,975.25 = 801.95 : x
2. Step 2: Convert to fraction form
   1,431.47/1,975.25 = 801.95/x
3. Step 3: Cross multiply
   1,431.47x = 1,975.25 × 801.95
4. Step 4: Simplify right side
   1,431.47x = 1,584,048.80
5. Step 5: Solve for x
   x = 1,584,048.80/1,431.47
6. Step 6: Final answer
   x = 1,106.59