Finding the Fourth Proportional to 1,306.34, 1,802.69 and 782.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,306.34 : 1,802.69 = 782.27 : x
2. Step 2: Convert to fraction form
   1,306.34/1,802.69 = 782.27/x
3. Step 3: Cross multiply
   1,306.34x = 1,802.69 × 782.27
4. Step 4: Simplify right side
   1,306.34x = 1,410,181.29
5. Step 5: Solve for x
   x = 1,410,181.29/1,306.34
6. Step 6: Final answer
   x = 1,079.49