Finding the Fourth Proportional to 1,552.89, 2,142.96 and 854.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.89 : 2,142.96 = 854.25 : x
2. Step 2: Convert to fraction form
   1,552.89/2,142.96 = 854.25/x
3. Step 3: Cross multiply
   1,552.89x = 2,142.96 × 854.25
4. Step 4: Simplify right side
   1,552.89x = 1,830,623.58
5. Step 5: Solve for x
   x = 1,830,623.58/1,552.89
6. Step 6: Final answer
   x = 1,178.85