Finding the Fourth Proportional to 1,552.43, 2,142.46 and 853.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.43 : 2,142.46 = 853.85 : x
2. Step 2: Convert to fraction form
   1,552.43/2,142.46 = 853.85/x
3. Step 3: Cross multiply
   1,552.43x = 2,142.46 × 853.85
4. Step 4: Simplify right side
   1,552.43x = 1,829,345.89
5. Step 5: Solve for x
   x = 1,829,345.89/1,552.43
6. Step 6: Final answer
   x = 1,178.37