Finding the Fourth Proportional to 1,275.47, 1,759.82 and 778.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,275.47 : 1,759.82 = 778.06 : x
2. Step 2: Convert to fraction form
   1,275.47/1,759.82 = 778.06/x
3. Step 3: Cross multiply
   1,275.47x = 1,759.82 × 778.06
4. Step 4: Simplify right side
   1,275.47x = 1,369,245.55
5. Step 5: Solve for x
   x = 1,369,245.55/1,275.47
6. Step 6: Final answer
   x = 1,073.52