Finding the Fourth Proportional to 1,517.86, 2,094.82 and 854.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,517.86 : 2,094.82 = 854.77 : x
2. Step 2: Convert to fraction form
   1,517.86/2,094.82 = 854.77/x
3. Step 3: Cross multiply
   1,517.86x = 2,094.82 × 854.77
4. Step 4: Simplify right side
   1,517.86x = 1,790,585.02
5. Step 5: Solve for x
   x = 1,790,585.02/1,517.86
6. Step 6: Final answer
   x = 1,179.68