Finding the Fourth Proportional to 1,356.17, 1,871.50 and 766.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.17 : 1,871.50 = 766.82 : x
2. Step 2: Convert to fraction form
   1,356.17/1,871.50 = 766.82/x
3. Step 3: Cross multiply
   1,356.17x = 1,871.50 × 766.82
4. Step 4: Simplify right side
   1,356.17x = 1,435,103.63
5. Step 5: Solve for x
   x = 1,435,103.63/1,356.17
6. Step 6: Final answer
   x = 1,058.20