Finding the Fourth Proportional to 1,269.49, 1,901.89 and 748.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269.49 : 1,901.89 = 748.02 : x
2. Step 2: Convert to fraction form
   1,269.49/1,901.89 = 748.02/x
3. Step 3: Cross multiply
   1,269.49x = 1,901.89 × 748.02
4. Step 4: Simplify right side
   1,269.49x = 1,422,658.20
5. Step 5: Solve for x
   x = 1,422,658.20/1,269.49
6. Step 6: Final answer
   x = 1,120.66