Finding the Fourth Proportional to 1,356.21, 1,871.56 and 766.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.21 : 1,871.56 = 766.74 : x
2. Step 2: Convert to fraction form
   1,356.21/1,871.56 = 766.74/x
3. Step 3: Cross multiply
   1,356.21x = 1,871.56 × 766.74
4. Step 4: Simplify right side
   1,356.21x = 1,434,999.91
5. Step 5: Solve for x
   x = 1,434,999.91/1,356.21
6. Step 6: Final answer
   x = 1,058.10