Finding the Fourth Proportional to 1,407.54, 1,942.25 and 777.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.54 : 1,942.25 = 777.91 : x
2. Step 2: Convert to fraction form
   1,407.54/1,942.25 = 777.91/x
3. Step 3: Cross multiply
   1,407.54x = 1,942.25 × 777.91
4. Step 4: Simplify right side
   1,407.54x = 1,510,902.62
5. Step 5: Solve for x
   x = 1,510,902.62/1,407.54
6. Step 6: Final answer
   x = 1,073.43