Finding the Fourth Proportional to 1,378.77, 1,902.67 and 749.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.77 : 1,902.67 = 749.28 : x
2. Step 2: Convert to fraction form
   1,378.77/1,902.67 = 749.28/x
3. Step 3: Cross multiply
   1,378.77x = 1,902.67 × 749.28
4. Step 4: Simplify right side
   1,378.77x = 1,425,632.58
5. Step 5: Solve for x
   x = 1,425,632.58/1,378.77
6. Step 6: Final answer
   x = 1,033.99