Finding the Fourth Proportional to 1,378.76, 1,902.69 and 749.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.76 : 1,902.69 = 749.29 : x
2. Step 2: Convert to fraction form
   1,378.76/1,902.69 = 749.29/x
3. Step 3: Cross multiply
   1,378.76x = 1,902.69 × 749.29
4. Step 4: Simplify right side
   1,378.76x = 1,425,666.59
5. Step 5: Solve for x
   x = 1,425,666.59/1,378.76
6. Step 6: Final answer
   x = 1,034.02