Finding the Fourth Proportional to 1,352.34, 1,866.47 and 854.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.34 : 1,866.47 = 854.82 : x
2. Step 2: Convert to fraction form
   1,352.34/1,866.47 = 854.82/x
3. Step 3: Cross multiply
   1,352.34x = 1,866.47 × 854.82
4. Step 4: Simplify right side
   1,352.34x = 1,595,491.61
5. Step 5: Solve for x
   x = 1,595,491.61/1,352.34
6. Step 6: Final answer
   x = 1,179.80