Finding the Fourth Proportional to 1,552.52, 2,142.42 and 853.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.52 : 2,142.42 = 853.96 : x
2. Step 2: Convert to fraction form
   1,552.52/2,142.42 = 853.96/x
3. Step 3: Cross multiply
   1,552.52x = 2,142.42 × 853.96
4. Step 4: Simplify right side
   1,552.52x = 1,829,540.98
5. Step 5: Solve for x
   x = 1,829,540.98/1,552.52
6. Step 6: Final answer
   x = 1,178.43