Finding the Fourth Proportional to 1,196.14, 1,649.94 and 748.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.14 : 1,649.94 = 748.26 : x
2. Step 2: Convert to fraction form
   1,196.14/1,649.94 = 748.26/x
3. Step 3: Cross multiply
   1,196.14x = 1,649.94 × 748.26
4. Step 4: Simplify right side
   1,196.14x = 1,234,584.10
5. Step 5: Solve for x
   x = 1,234,584.10/1,196.14
6. Step 6: Final answer
   x = 1,032.14