Finding the Fourth Proportional to 1,356.09, 1,871.34 and 766.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.09 : 1,871.34 = 766.65 : x
2. Step 2: Convert to fraction form
   1,356.09/1,871.34 = 766.65/x
3. Step 3: Cross multiply
   1,356.09x = 1,871.34 × 766.65
4. Step 4: Simplify right side
   1,356.09x = 1,434,662.81
5. Step 5: Solve for x
   x = 1,434,662.81/1,356.09
6. Step 6: Final answer
   x = 1,057.94