Finding the Fourth Proportional to 1,093.69, 1,638.12 and 786.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,093.69 : 1,638.12 = 786.14 : x
2. Step 2: Convert to fraction form
   1,093.69/1,638.12 = 786.14/x
3. Step 3: Cross multiply
   1,093.69x = 1,638.12 × 786.14
4. Step 4: Simplify right side
   1,093.69x = 1,287,791.66
5. Step 5: Solve for x
   x = 1,287,791.66/1,093.69
6. Step 6: Final answer
   x = 1,177.47