Finding the Fourth Proportional to 1,407.37, 1,942.16 and 777.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.37 : 1,942.16 = 777.93 : x
2. Step 2: Convert to fraction form
   1,407.37/1,942.16 = 777.93/x
3. Step 3: Cross multiply
   1,407.37x = 1,942.16 × 777.93
4. Step 4: Simplify right side
   1,407.37x = 1,510,864.53
5. Step 5: Solve for x
   x = 1,510,864.53/1,407.37
6. Step 6: Final answer
   x = 1,073.54