Finding the Fourth Proportional to 1,552.43, 2,142.39 and 853.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.43 : 2,142.39 = 853.82 : x
2. Step 2: Convert to fraction form
   1,552.43/2,142.39 = 853.82/x
3. Step 3: Cross multiply
   1,552.43x = 2,142.39 × 853.82
4. Step 4: Simplify right side
   1,552.43x = 1,829,215.43
5. Step 5: Solve for x
   x = 1,829,215.43/1,552.43
6. Step 6: Final answer
   x = 1,178.29