Finding the Fourth Proportional to 1,356.42, 1,871.87 and 766.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.42 : 1,871.87 = 766.96 : x
2. Step 2: Convert to fraction form
   1,356.42/1,871.87 = 766.96/x
3. Step 3: Cross multiply
   1,356.42x = 1,871.87 × 766.96
4. Step 4: Simplify right side
   1,356.42x = 1,435,649.42
5. Step 5: Solve for x
   x = 1,435,649.42/1,356.42
6. Step 6: Final answer
   x = 1,058.41