Finding the Fourth Proportional to 1,018.76, 1,527.39 and 771.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.76 : 1,527.39 = 771.71 : x
2. Step 2: Convert to fraction form
   1,018.76/1,527.39 = 771.71/x
3. Step 3: Cross multiply
   1,018.76x = 1,527.39 × 771.71
4. Step 4: Simplify right side
   1,018.76x = 1,178,694.50
5. Step 5: Solve for x
   x = 1,178,694.50/1,018.76
6. Step 6: Final answer
   x = 1,157.00