Finding the Fourth Proportional to 1,338.66, 1,847.38 and 749.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338.66 : 1,847.38 = 749.20 : x
2. Step 2: Convert to fraction form
   1,338.66/1,847.38 = 749.20/x
3. Step 3: Cross multiply
   1,338.66x = 1,847.38 × 749.20
4. Step 4: Simplify right side
   1,338.66x = 1,384,046.10
5. Step 5: Solve for x
   x = 1,384,046.10/1,338.66
6. Step 6: Final answer
   x = 1,033.90