Finding the Fourth Proportional to 801.42, 1,105.88 and 591.71

Step by Step Solution

1. Step 1: Write the proportion equation
   801.42 : 1,105.88 = 591.71 : x
2. Step 2: Convert to fraction form
   801.42/1,105.88 = 591.71/x
3. Step 3: Cross multiply
   801.42x = 1,105.88 × 591.71
4. Step 4: Simplify right side
   801.42x = 654,360.25
5. Step 5: Solve for x
   x = 654,360.25/801.42
6. Step 6: Final answer
   x = 816.50