Finding the Fourth Proportional to 1,516.35, 2,092.50 and 853.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.35 : 2,092.50 = 853.23 : x
2. Step 2: Convert to fraction form
   1,516.35/2,092.50 = 853.23/x
3. Step 3: Cross multiply
   1,516.35x = 2,092.50 × 853.23
4. Step 4: Simplify right side
   1,516.35x = 1,785,383.78
5. Step 5: Solve for x
   x = 1,785,383.78/1,516.35
6. Step 6: Final answer
   x = 1,177.42