Finding the Fourth Proportional to 1,292.34, 1,936.88 and 772.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,292.34 : 1,936.88 = 772.72 : x
2. Step 2: Convert to fraction form
   1,292.34/1,936.88 = 772.72/x
3. Step 3: Cross multiply
   1,292.34x = 1,936.88 × 772.72
4. Step 4: Simplify right side
   1,292.34x = 1,496,665.91
5. Step 5: Solve for x
   x = 1,496,665.91/1,292.34
6. Step 6: Final answer
   x = 1,158.11