Finding the Fourth Proportional to 1,395.82, 1,926.07 and 828.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,395.82 : 1,926.07 = 828.57 : x
2. Step 2: Convert to fraction form
   1,395.82/1,926.07 = 828.57/x
3. Step 3: Cross multiply
   1,395.82x = 1,926.07 × 828.57
4. Step 4: Simplify right side
   1,395.82x = 1,595,883.82
5. Step 5: Solve for x
   x = 1,595,883.82/1,395.82
6. Step 6: Final answer
   x = 1,143.33