Finding the Fourth Proportional to 1,356.24, 1,871.46 and 766.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.24 : 1,871.46 = 766.66 : x
2. Step 2: Convert to fraction form
   1,356.24/1,871.46 = 766.66/x
3. Step 3: Cross multiply
   1,356.24x = 1,871.46 × 766.66
4. Step 4: Simplify right side
   1,356.24x = 1,434,773.52
5. Step 5: Solve for x
   x = 1,434,773.52/1,356.24
6. Step 6: Final answer
   x = 1,057.91