Finding the Fourth Proportional to 1,356.02, 1,871.37 and 766.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.02 : 1,871.37 = 766.58 : x
2. Step 2: Convert to fraction form
   1,356.02/1,871.37 = 766.58/x
3. Step 3: Cross multiply
   1,356.02x = 1,871.37 × 766.58
4. Step 4: Simplify right side
   1,356.02x = 1,434,554.81
5. Step 5: Solve for x
   x = 1,434,554.81/1,356.02
6. Step 6: Final answer
   x = 1,057.92