Finding the Fourth Proportional to 1,552.78, 2,142.87 and 854.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.78 : 2,142.87 = 854.15 : x
2. Step 2: Convert to fraction form
   1,552.78/2,142.87 = 854.15/x
3. Step 3: Cross multiply
   1,552.78x = 2,142.87 × 854.15
4. Step 4: Simplify right side
   1,552.78x = 1,830,332.41
5. Step 5: Solve for x
   x = 1,830,332.41/1,552.78
6. Step 6: Final answer
   x = 1,178.75