Finding the Fourth Proportional to 1,407.32, 1,942.17 and 777.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.32 : 1,942.17 = 777.85 : x
2. Step 2: Convert to fraction form
   1,407.32/1,942.17 = 777.85/x
3. Step 3: Cross multiply
   1,407.32x = 1,942.17 × 777.85
4. Step 4: Simplify right side
   1,407.32x = 1,510,716.93
5. Step 5: Solve for x
   x = 1,510,716.93/1,407.32
6. Step 6: Final answer
   x = 1,073.47