Finding the Fourth Proportional to 1,356.10, 1,871.46 and 766.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.10 : 1,871.46 = 766.60 : x
2. Step 2: Convert to fraction form
   1,356.10/1,871.46 = 766.60/x
3. Step 3: Cross multiply
   1,356.10x = 1,871.46 × 766.60
4. Step 4: Simplify right side
   1,356.10x = 1,434,661.24
5. Step 5: Solve for x
   x = 1,434,661.24/1,356.10
6. Step 6: Final answer
   x = 1,057.93