Finding the Fourth Proportional to 1,356.04, 1,871.40 and 766.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.04 : 1,871.40 = 766.76 : x
2. Step 2: Convert to fraction form
   1,356.04/1,871.40 = 766.76/x
3. Step 3: Cross multiply
   1,356.04x = 1,871.40 × 766.76
4. Step 4: Simplify right side
   1,356.04x = 1,434,914.66
5. Step 5: Solve for x
   x = 1,434,914.66/1,356.04
6. Step 6: Final answer
   x = 1,058.17