Finding the Fourth Proportional to 1,766.77, 2,651.40 and 727.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766.77 : 2,651.40 = 727.72 : x
2. Step 2: Convert to fraction form
   1,766.77/2,651.40 = 727.72/x
3. Step 3: Cross multiply
   1,766.77x = 2,651.40 × 727.72
4. Step 4: Simplify right side
   1,766.77x = 1,929,476.81
5. Step 5: Solve for x
   x = 1,929,476.81/1,766.77
6. Step 6: Final answer
   x = 1,092.09