Finding the Fourth Proportional to 1,147.15, 1,582.59 and 853.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.15 : 1,582.59 = 853.12 : x
2. Step 2: Convert to fraction form
   1,147.15/1,582.59 = 853.12/x
3. Step 3: Cross multiply
   1,147.15x = 1,582.59 × 853.12
4. Step 4: Simplify right side
   1,147.15x = 1,350,139.18
5. Step 5: Solve for x
   x = 1,350,139.18/1,147.15
6. Step 6: Final answer
   x = 1,176.95