Finding the Fourth Proportional to 1,632.42, 2,447.82 and 766.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,632.42 : 2,447.82 = 766.80 : x
2. Step 2: Convert to fraction form
   1,632.42/2,447.82 = 766.80/x
3. Step 3: Cross multiply
   1,632.42x = 2,447.82 × 766.80
4. Step 4: Simplify right side
   1,632.42x = 1,876,988.38
5. Step 5: Solve for x
   x = 1,876,988.38/1,632.42
6. Step 6: Final answer
   x = 1,149.82