Finding the Fourth Proportional to 1,351.41, 1,864.47 and 853.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,351.41 : 1,864.47 = 853.89 : x
2. Step 2: Convert to fraction form
   1,351.41/1,864.47 = 853.89/x
3. Step 3: Cross multiply
   1,351.41x = 1,864.47 × 853.89
4. Step 4: Simplify right side
   1,351.41x = 1,592,052.29
5. Step 5: Solve for x
   x = 1,592,052.29/1,351.41
6. Step 6: Final answer
   x = 1,178.07