Finding the Fourth Proportional to 1,356.34, 1,871.76 and 766.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.34 : 1,871.76 = 766.90 : x
2. Step 2: Convert to fraction form
   1,356.34/1,871.76 = 766.90/x
3. Step 3: Cross multiply
   1,356.34x = 1,871.76 × 766.90
4. Step 4: Simplify right side
   1,356.34x = 1,435,452.74
5. Step 5: Solve for x
   x = 1,435,452.74/1,356.34
6. Step 6: Final answer
   x = 1,058.33