Finding the Fourth Proportional to 1,017.43, 1,522.80 and 772.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.43 : 1,522.80 = 772.61 : x
2. Step 2: Convert to fraction form
   1,017.43/1,522.80 = 772.61/x
3. Step 3: Cross multiply
   1,017.43x = 1,522.80 × 772.61
4. Step 4: Simplify right side
   1,017.43x = 1,176,522.89
5. Step 5: Solve for x
   x = 1,176,522.89/1,017.43
6. Step 6: Final answer
   x = 1,156.37