Finding the Fourth Proportional to 1,105.49, 1,526.96 and 896.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.49 : 1,526.96 = 896.42 : x
2. Step 2: Convert to fraction form
   1,105.49/1,526.96 = 896.42/x
3. Step 3: Cross multiply
   1,105.49x = 1,526.96 × 896.42
4. Step 4: Simplify right side
   1,105.49x = 1,368,797.48
5. Step 5: Solve for x
   x = 1,368,797.48/1,105.49
6. Step 6: Final answer
   x = 1,238.18