Finding the Fourth Proportional to 1,632.69, 2,449.62 and 766.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,632.69 : 2,449.62 = 766.38 : x
2. Step 2: Convert to fraction form
   1,632.69/2,449.62 = 766.38/x
3. Step 3: Cross multiply
   1,632.69x = 2,449.62 × 766.38
4. Step 4: Simplify right side
   1,632.69x = 1,877,339.78
5. Step 5: Solve for x
   x = 1,877,339.78/1,632.69
6. Step 6: Final answer
   x = 1,149.84