Finding the Fourth Proportional to 1,093.50, 1,638.63 and 727.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,093.50 : 1,638.63 = 727.38 : x
2. Step 2: Convert to fraction form
   1,093.50/1,638.63 = 727.38/x
3. Step 3: Cross multiply
   1,093.50x = 1,638.63 × 727.38
4. Step 4: Simplify right side
   1,093.50x = 1,191,906.69
5. Step 5: Solve for x
   x = 1,191,906.69/1,093.50
6. Step 6: Final answer
   x = 1,089.99