Finding the Fourth Proportional to 1,461.98, 2,190.94 and 767.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.98 : 2,190.94 = 767.27 : x
2. Step 2: Convert to fraction form
   1,461.98/2,190.94 = 767.27/x
3. Step 3: Cross multiply
   1,461.98x = 2,190.94 × 767.27
4. Step 4: Simplify right side
   1,461.98x = 1,681,042.53
5. Step 5: Solve for x
   x = 1,681,042.53/1,461.98
6. Step 6: Final answer
   x = 1,149.84