Finding the Fourth Proportional to 1,926, 2,657.81 and 1,086.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,926 : 2,657.81 = 1,086.72 : x
2. Step 2: Convert to fraction form
   1,926/2,657.81 = 1,086.72/x
3. Step 3: Cross multiply
   1,926x = 2,657.81 × 1,086.72
4. Step 4: Simplify right side
   1,926x = 2,888,295.28
5. Step 5: Solve for x
   x = 2,888,295.28/1,926
6. Step 6: Final answer
   x = 1,499.63