Finding the Fourth Proportional to 1,632.72, 2,447.16 and 766

Step by Step Solution

1. Step 1: Write the proportion equation
   1,632.72 : 2,447.16 = 766 : x
2. Step 2: Convert to fraction form
   1,632.72/2,447.16 = 766/x
3. Step 3: Cross multiply
   1,632.72x = 2,447.16 × 766
4. Step 4: Simplify right side
   1,632.72x = 1,874,524.56
5. Step 5: Solve for x
   x = 1,874,524.56/1,632.72
6. Step 6: Final answer
   x = 1,148.10