Finding the Fourth Proportional to 1,046.79, 1,442.25 and 766.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.79 : 1,442.25 = 766.71 : x
2. Step 2: Convert to fraction form
   1,046.79/1,442.25 = 766.71/x
3. Step 3: Cross multiply
   1,046.79x = 1,442.25 × 766.71
4. Step 4: Simplify right side
   1,046.79x = 1,105,787.50
5. Step 5: Solve for x
   x = 1,105,787.50/1,046.79
6. Step 6: Final answer
   x = 1,056.36