Finding the Fourth Proportional to 1,086.42, 1,497.25 and 771.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.42 : 1,497.25 = 771.71 : x
2. Step 2: Convert to fraction form
   1,086.42/1,497.25 = 771.71/x
3. Step 3: Cross multiply
   1,086.42x = 1,497.25 × 771.71
4. Step 4: Simplify right side
   1,086.42x = 1,155,436.28
5. Step 5: Solve for x
   x = 1,155,436.28/1,086.42
6. Step 6: Final answer
   x = 1,063.52