Finding the Fourth Proportional to 1,377.68, 1,901.20 and 748.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.68 : 1,901.20 = 748.21 : x
2. Step 2: Convert to fraction form
   1,377.68/1,901.20 = 748.21/x
3. Step 3: Cross multiply
   1,377.68x = 1,901.20 × 748.21
4. Step 4: Simplify right side
   1,377.68x = 1,422,499.52
5. Step 5: Solve for x
   x = 1,422,499.52/1,377.68
6. Step 6: Final answer
   x = 1,032.54