Finding the Fourth Proportional to 1,352.29, 1,866.45 and 854.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.29 : 1,866.45 = 854.61 : x
2. Step 2: Convert to fraction form
   1,352.29/1,866.45 = 854.61/x
3. Step 3: Cross multiply
   1,352.29x = 1,866.45 × 854.61
4. Step 4: Simplify right side
   1,352.29x = 1,595,086.83
5. Step 5: Solve for x
   x = 1,595,086.83/1,352.29
6. Step 6: Final answer
   x = 1,179.54