Finding the Fourth Proportional to 1,633.98, 2,448.81 and 767.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,633.98 : 2,448.81 = 767.10 : x
2. Step 2: Convert to fraction form
   1,633.98/2,448.81 = 767.10/x
3. Step 3: Cross multiply
   1,633.98x = 2,448.81 × 767.10
4. Step 4: Simplify right side
   1,633.98x = 1,878,482.15
5. Step 5: Solve for x
   x = 1,878,482.15/1,633.98
6. Step 6: Final answer
   x = 1,149.64