Finding the Fourth Proportional to 1,274.42, 1,759.52 and 802.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.42 : 1,759.52 = 802.82 : x
2. Step 2: Convert to fraction form
   1,274.42/1,759.52 = 802.82/x
3. Step 3: Cross multiply
   1,274.42x = 1,759.52 × 802.82
4. Step 4: Simplify right side
   1,274.42x = 1,412,584.25
5. Step 5: Solve for x
   x = 1,412,584.25/1,274.42
6. Step 6: Final answer
   x = 1,108.41