Finding the Fourth Proportional to 1,396.82, 2,096.59 and 780.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,396.82 : 2,096.59 = 780.96 : x
2. Step 2: Convert to fraction form
   1,396.82/2,096.59 = 780.96/x
3. Step 3: Cross multiply
   1,396.82x = 2,096.59 × 780.96
4. Step 4: Simplify right side
   1,396.82x = 1,637,352.93
5. Step 5: Solve for x
   x = 1,637,352.93/1,396.82
6. Step 6: Final answer
   x = 1,172.20