Finding the Fourth Proportional to 1,187.31, 1,636.89 and 832.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,187.31 : 1,636.89 = 832.76 : x
2. Step 2: Convert to fraction form
   1,187.31/1,636.89 = 832.76/x
3. Step 3: Cross multiply
   1,187.31x = 1,636.89 × 832.76
4. Step 4: Simplify right side
   1,187.31x = 1,363,128.33
5. Step 5: Solve for x
   x = 1,363,128.33/1,187.31
6. Step 6: Final answer
   x = 1,148.08