Finding the Fourth Proportional to 1,516.42, 2,092.86 and 853.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.42 : 2,092.86 = 853.32 : x
2. Step 2: Convert to fraction form
   1,516.42/2,092.86 = 853.32/x
3. Step 3: Cross multiply
   1,516.42x = 2,092.86 × 853.32
4. Step 4: Simplify right side
   1,516.42x = 1,785,879.30
5. Step 5: Solve for x
   x = 1,785,879.30/1,516.42
6. Step 6: Final answer
   x = 1,177.69