Finding the Fourth Proportional to 1,377.72, 1,901.23 and 748.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.72 : 1,901.23 = 748.25 : x
2. Step 2: Convert to fraction form
   1,377.72/1,901.23 = 748.25/x
3. Step 3: Cross multiply
   1,377.72x = 1,901.23 × 748.25
4. Step 4: Simplify right side
   1,377.72x = 1,422,595.35
5. Step 5: Solve for x
   x = 1,422,595.35/1,377.72
6. Step 6: Final answer
   x = 1,032.57