Finding the Fourth Proportional to 1,377.84, 1,901.42 and 748.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.84 : 1,901.42 = 748.37 : x
2. Step 2: Convert to fraction form
   1,377.84/1,901.42 = 748.37/x
3. Step 3: Cross multiply
   1,377.84x = 1,901.42 × 748.37
4. Step 4: Simplify right side
   1,377.84x = 1,422,963.02
5. Step 5: Solve for x
   x = 1,422,963.02/1,377.84
6. Step 6: Final answer
   x = 1,032.75