Finding the Fourth Proportional to 1,378.77, 1,902.72 and 749.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.77 : 1,902.72 = 749.30 : x
2. Step 2: Convert to fraction form
   1,378.77/1,902.72 = 749.30/x
3. Step 3: Cross multiply
   1,378.77x = 1,902.72 × 749.30
4. Step 4: Simplify right side
   1,378.77x = 1,425,708.10
5. Step 5: Solve for x
   x = 1,425,708.10/1,378.77
6. Step 6: Final answer
   x = 1,034.04