Finding the Fourth Proportional to 1,633.82, 2,449.80 and 768.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,633.82 : 2,449.80 = 768.15 : x
2. Step 2: Convert to fraction form
   1,633.82/2,449.80 = 768.15/x
3. Step 3: Cross multiply
   1,633.82x = 2,449.80 × 768.15
4. Step 4: Simplify right side
   1,633.82x = 1,881,813.87
5. Step 5: Solve for x
   x = 1,881,813.87/1,633.82
6. Step 6: Final answer
   x = 1,151.79