Finding the Fourth Proportional to 1,380.48, 1,905.20 and 759.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.48 : 1,905.20 = 759.52 : x
2. Step 2: Convert to fraction form
   1,380.48/1,905.20 = 759.52/x
3. Step 3: Cross multiply
   1,380.48x = 1,905.20 × 759.52
4. Step 4: Simplify right side
   1,380.48x = 1,447,037.50
5. Step 5: Solve for x
   x = 1,447,037.50/1,380.48
6. Step 6: Final answer
   x = 1,048.21