Finding the Fourth Proportional to 1,018.16, 1,523.52 and 772.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.16 : 1,523.52 = 772.72 : x
2. Step 2: Convert to fraction form
   1,018.16/1,523.52 = 772.72/x
3. Step 3: Cross multiply
   1,018.16x = 1,523.52 × 772.72
4. Step 4: Simplify right side
   1,018.16x = 1,177,254.37
5. Step 5: Solve for x
   x = 1,177,254.37/1,018.16
6. Step 6: Final answer
   x = 1,156.26