Finding the Fourth Proportional to 1,552.50, 2,142.50 and 853.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.50 : 2,142.50 = 853.92 : x
2. Step 2: Convert to fraction form
   1,552.50/2,142.50 = 853.92/x
3. Step 3: Cross multiply
   1,552.50x = 2,142.50 × 853.92
4. Step 4: Simplify right side
   1,552.50x = 1,829,519.33
5. Step 5: Solve for x
   x = 1,829,519.33/1,552.50
6. Step 6: Final answer
   x = 1,178.43