Finding the Fourth Proportional to 1,193.78, 1,644.69 and 893.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,193.78 : 1,644.69 = 893.72 : x
2. Step 2: Convert to fraction form
   1,193.78/1,644.69 = 893.72/x
3. Step 3: Cross multiply
   1,193.78x = 1,644.69 × 893.72
4. Step 4: Simplify right side
   1,193.78x = 1,469,892.35
5. Step 5: Solve for x
   x = 1,469,892.35/1,193.78
6. Step 6: Final answer
   x = 1,231.29