Finding the Fourth Proportional to 1,552.20, 2,142.06 and 853.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.20 : 2,142.06 = 853.57 : x
2. Step 2: Convert to fraction form
   1,552.20/2,142.06 = 853.57/x
3. Step 3: Cross multiply
   1,552.20x = 2,142.06 × 853.57
4. Step 4: Simplify right side
   1,552.20x = 1,828,398.15
5. Step 5: Solve for x
   x = 1,828,398.15/1,552.20
6. Step 6: Final answer
   x = 1,177.94