Finding the Fourth Proportional to 1,031.41, 1,422.43 and 809.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.41 : 1,422.43 = 809.98 : x
2. Step 2: Convert to fraction form
   1,031.41/1,422.43 = 809.98/x
3. Step 3: Cross multiply
   1,031.41x = 1,422.43 × 809.98
4. Step 4: Simplify right side
   1,031.41x = 1,152,139.85
5. Step 5: Solve for x
   x = 1,152,139.85/1,031.41
6. Step 6: Final answer
   x = 1,117.05