Finding the Fourth Proportional to 1,407.72, 1,942.62 and 786.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.72 : 1,942.62 = 786.84 : x
2. Step 2: Convert to fraction form
   1,407.72/1,942.62 = 786.84/x
3. Step 3: Cross multiply
   1,407.72x = 1,942.62 × 786.84
4. Step 4: Simplify right side
   1,407.72x = 1,528,531.12
5. Step 5: Solve for x
   x = 1,528,531.12/1,407.72
6. Step 6: Final answer
   x = 1,085.82