Finding the Fourth Proportional to 1,327.50, 1,830.72 and 854.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,327.50 : 1,830.72 = 854.82 : x
2. Step 2: Convert to fraction form
   1,327.50/1,830.72 = 854.82/x
3. Step 3: Cross multiply
   1,327.50x = 1,830.72 × 854.82
4. Step 4: Simplify right side
   1,327.50x = 1,564,936.07
5. Step 5: Solve for x
   x = 1,564,936.07/1,327.50
6. Step 6: Final answer
   x = 1,178.86