Finding the Fourth Proportional to 1,407.69, 1,942.61 and 786.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.69 : 1,942.61 = 786.69 : x
2. Step 2: Convert to fraction form
   1,407.69/1,942.61 = 786.69/x
3. Step 3: Cross multiply
   1,407.69x = 1,942.61 × 786.69
4. Step 4: Simplify right side
   1,407.69x = 1,528,231.86
5. Step 5: Solve for x
   x = 1,528,231.86/1,407.69
6. Step 6: Final answer
   x = 1,085.63