Finding the Fourth Proportional to 1,377.12, 1,900.54 and 853.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.12 : 1,900.54 = 853.46 : x
2. Step 2: Convert to fraction form
   1,377.12/1,900.54 = 853.46/x
3. Step 3: Cross multiply
   1,377.12x = 1,900.54 × 853.46
4. Step 4: Simplify right side
   1,377.12x = 1,622,034.87
5. Step 5: Solve for x
   x = 1,622,034.87/1,377.12
6. Step 6: Final answer
   x = 1,177.85