Finding the Fourth Proportional to 1,552.76, 2,142.78 and 854.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.76 : 2,142.78 = 854.12 : x
2. Step 2: Convert to fraction form
   1,552.76/2,142.78 = 854.12/x
3. Step 3: Cross multiply
   1,552.76x = 2,142.78 × 854.12
4. Step 4: Simplify right side
   1,552.76x = 1,830,191.25
5. Step 5: Solve for x
   x = 1,830,191.25/1,552.76
6. Step 6: Final answer
   x = 1,178.67