Finding the Fourth Proportional to 1,384.37, 1,910.28 and 853.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.37 : 1,910.28 = 853.16 : x
2. Step 2: Convert to fraction form
   1,384.37/1,910.28 = 853.16/x
3. Step 3: Cross multiply
   1,384.37x = 1,910.28 × 853.16
4. Step 4: Simplify right side
   1,384.37x = 1,629,774.48
5. Step 5: Solve for x
   x = 1,629,774.48/1,384.37
6. Step 6: Final answer
   x = 1,177.27