Finding the Fourth Proportional to 1,407.54, 1,942.46 and 778.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.54 : 1,942.46 = 778.10 : x
2. Step 2: Convert to fraction form
   1,407.54/1,942.46 = 778.10/x
3. Step 3: Cross multiply
   1,407.54x = 1,942.46 × 778.10
4. Step 4: Simplify right side
   1,407.54x = 1,511,428.13
5. Step 5: Solve for x
   x = 1,511,428.13/1,407.54
6. Step 6: Final answer
   x = 1,073.81