Finding the Fourth Proportional to 1,552.40, 2,142.31 and 853.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.40 : 2,142.31 = 853.78 : x
2. Step 2: Convert to fraction form
   1,552.40/2,142.31 = 853.78/x
3. Step 3: Cross multiply
   1,552.40x = 2,142.31 × 853.78
4. Step 4: Simplify right side
   1,552.40x = 1,829,050.72
5. Step 5: Solve for x
   x = 1,829,050.72/1,552.40
6. Step 6: Final answer
   x = 1,178.21