Finding the Fourth Proportional to 1,185.48, 1,636.54 and 832.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.48 : 1,636.54 = 832.15 : x
2. Step 2: Convert to fraction form
   1,185.48/1,636.54 = 832.15/x
3. Step 3: Cross multiply
   1,185.48x = 1,636.54 × 832.15
4. Step 4: Simplify right side
   1,185.48x = 1,361,846.73
5. Step 5: Solve for x
   x = 1,361,846.73/1,185.48
6. Step 6: Final answer
   x = 1,148.77