Finding the Fourth Proportional to 1,342.28, 1,852.06 and 782.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,342.28 : 1,852.06 = 782.56 : x
2. Step 2: Convert to fraction form
   1,342.28/1,852.06 = 782.56/x
3. Step 3: Cross multiply
   1,342.28x = 1,852.06 × 782.56
4. Step 4: Simplify right side
   1,342.28x = 1,449,348.07
5. Step 5: Solve for x
   x = 1,449,348.07/1,342.28
6. Step 6: Final answer
   x = 1,079.77