Finding the Fourth Proportional to 1,552.82, 2,142.86 and 854.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.82 : 2,142.86 = 854.19 : x
2. Step 2: Convert to fraction form
   1,552.82/2,142.86 = 854.19/x
3. Step 3: Cross multiply
   1,552.82x = 2,142.86 × 854.19
4. Step 4: Simplify right side
   1,552.82x = 1,830,405.31
5. Step 5: Solve for x
   x = 1,830,405.31/1,552.82
6. Step 6: Final answer
   x = 1,178.77