Finding the Fourth Proportional to 1,552.79, 2,142.86 and 854.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.79 : 2,142.86 = 854.16 : x
2. Step 2: Convert to fraction form
   1,552.79/2,142.86 = 854.16/x
3. Step 3: Cross multiply
   1,552.79x = 2,142.86 × 854.16
4. Step 4: Simplify right side
   1,552.79x = 1,830,341.03
5. Step 5: Solve for x
   x = 1,830,341.03/1,552.79
6. Step 6: Final answer
   x = 1,178.75