Finding the Fourth Proportional to 1,407.29, 1,942.04 and 777.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.29 : 1,942.04 = 777.86 : x
2. Step 2: Convert to fraction form
   1,407.29/1,942.04 = 777.86/x
3. Step 3: Cross multiply
   1,407.29x = 1,942.04 × 777.86
4. Step 4: Simplify right side
   1,407.29x = 1,510,625.52
5. Step 5: Solve for x
   x = 1,510,625.52/1,407.29
6. Step 6: Final answer
   x = 1,073.43