Finding the Fourth Proportional to 1,632.48, 2,446.56 and 765.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,632.48 : 2,446.56 = 765.60 : x
2. Step 2: Convert to fraction form
   1,632.48/2,446.56 = 765.60/x
3. Step 3: Cross multiply
   1,632.48x = 2,446.56 × 765.60
4. Step 4: Simplify right side
   1,632.48x = 1,873,086.34
5. Step 5: Solve for x
   x = 1,873,086.34/1,632.48
6. Step 6: Final answer
   x = 1,147.39