Finding the Fourth Proportional to 1,016.01, 1,402.16 and 766.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.01 : 1,402.16 = 766.94 : x
2. Step 2: Convert to fraction form
   1,016.01/1,402.16 = 766.94/x
3. Step 3: Cross multiply
   1,016.01x = 1,402.16 × 766.94
4. Step 4: Simplify right side
   1,016.01x = 1,075,361.74
5. Step 5: Solve for x
   x = 1,075,361.74/1,016.01
6. Step 6: Final answer
   x = 1,058.42