Finding the Fourth Proportional to 1,407.38, 1,942.25 and 786.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.38 : 1,942.25 = 786.38 : x
2. Step 2: Convert to fraction form
   1,407.38/1,942.25 = 786.38/x
3. Step 3: Cross multiply
   1,407.38x = 1,942.25 × 786.38
4. Step 4: Simplify right side
   1,407.38x = 1,527,332.91
5. Step 5: Solve for x
   x = 1,527,332.91/1,407.38
6. Step 6: Final answer
   x = 1,085.24