Finding the Fourth Proportional to 1,085.78, 1,498.42 and 852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.78 : 1,498.42 = 852.50 : x
2. Step 2: Convert to fraction form
   1,085.78/1,498.42 = 852.50/x
3. Step 3: Cross multiply
   1,085.78x = 1,498.42 × 852.50
4. Step 4: Simplify right side
   1,085.78x = 1,277,403.05
5. Step 5: Solve for x
   x = 1,277,403.05/1,085.78
6. Step 6: Final answer
   x = 1,176.48