Finding the Fourth Proportional to 1,407.59, 1,942.41 and 778.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.59 : 1,942.41 = 778.07 : x
2. Step 2: Convert to fraction form
   1,407.59/1,942.41 = 778.07/x
3. Step 3: Cross multiply
   1,407.59x = 1,942.41 × 778.07
4. Step 4: Simplify right side
   1,407.59x = 1,511,335.80
5. Step 5: Solve for x
   x = 1,511,335.80/1,407.59
6. Step 6: Final answer
   x = 1,073.71