Finding the Fourth Proportional to 1,182.69, 1,630.67 and 832.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.69 : 1,630.67 = 832.77 : x
2. Step 2: Convert to fraction form
   1,182.69/1,630.67 = 832.77/x
3. Step 3: Cross multiply
   1,182.69x = 1,630.67 × 832.77
4. Step 4: Simplify right side
   1,182.69x = 1,357,968.89
5. Step 5: Solve for x
   x = 1,357,968.89/1,182.69
6. Step 6: Final answer
   x = 1,148.20